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2540500144 = 2471323107709
BaseRepresentation
bin1001011101101100…
…1111010010110000
320120001101210000221
42113123033102300
520200332001034
61100031422424
7116645615650
oct22733172260
96501353027
102540500144
1110940563a6
125aa984a14
1331643c830
141a1594360
15ed07abb4
hex976cf4b0

2540500144 has 160 divisors (see below), whose sum is σ = 6389591040. Its totient is φ = 951008256.

The previous prime is 2540500141. The next prime is 2540500147. The reversal of 2540500144 is 4410050452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2540500141) and next prime (2540500147).

It is not an unprimeable number, because it can be changed into a prime (2540500141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3582862 + ... + 3583570.

It is an arithmetic number, because the mean of its divisors is an integer number (39934944).

Almost surely, 22540500144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540500144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194795520).

2540500144 is an abundant number, since it is smaller than the sum of its proper divisors (3849090896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2540500144 is a wasteful number, since it uses less digits than its factorization.

2540500144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2540500144 is about 50403.3743314870. The cubic root of 2540500144 is about 1364.4985378183.

Adding to 2540500144 its reverse (4410050452), we get a palindrome (6950550596).

The spelling of 2540500144 in words is "two billion, five hundred forty million, five hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 107 112 161 182 184 208 214 299 322 364 368 428 598 644 709 728 749 856 1196 1288 1391 1418 1456 1498 1712 2093 2392 2461 2576 2782 2836 2996 4186 4784 4922 4963 5564 5672 5992 8372 9217 9737 9844 9926 11128 11344 11984 16307 16744 17227 18434 19474 19688 19852 22256 31993 32614 33488 34454 36868 38948 39376 39704 63986 64519 65228 68908 73736 75863 77896 79408 114149 127972 129038 130456 137816 147472 151726 155792 211991 223951 228298 255944 258076 260912 275632 303452 423982 447902 456596 511888 516152 531041 606904 847964 895804 913192 986219 1032304 1062082 1213808 1483937 1695928 1744849 1791608 1826384 1972438 2124164 2967874 3391856 3489698 3583216 3944876 4248328 5935748 6903533 6979396 7889752 8496656 11871496 12213943 13807066 13958792 15779504 22683037 23742992 24427886 27614132 27917584 45366074 48855772 55228264 90732148 97711544 110456528 158781259 181464296 195423088 317562518 362928592 635125036 1270250072 2540500144