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2542462412 = 2272233591571
BaseRepresentation
bin1001011110001010…
…1110010111001100
320120012002110202112
42113202232113030
520201332244122
61100141443152
7120001400600
oct22742562714
96505073675
102542462412
111095176706
125ab5704b8
13316978a39
141a1945500
15ed3172e2
hex978ae5cc

2542462412 has 72 divisors (see below), whose sum is σ = 5419249920. Its totient is φ = 1038686880.

The previous prime is 2542462399. The next prime is 2542462423. The reversal of 2542462412 is 2142642452.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1617587 + ... + 1619157.

It is an arithmetic number, because the mean of its divisors is an integer number (75267360).

Almost surely, 22542462412 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 2542462412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709624960).

2542462412 is an abundant number, since it is smaller than the sum of its proper divisors (2876787508).

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

2542462412 is a wasteful number, since it uses less digits than its factorization.

2542462412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1962 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 2542462412 is about 50422.8362153499. The cubic root of 2542462412 is about 1364.8497577351.

The spelling of 2542462412 in words is "two billion, five hundred forty-two million, four hundred sixty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 359 644 718 1127 1436 1571 2254 2513 3142 4508 5026 6284 8257 10052 10997 16514 17591 21994 33028 35182 36133 43988 57799 70364 72266 76979 115598 144532 153958 231196 252931 307916 404593 505862 563989 809186 1011724 1127978 1618372 1770517 2255956 3541034 3947923 7082068 7895846 12971747 15791692 25943494 27635461 51886988 55270922 90802229 110541844 181604458 363208916 635615603 1271231206 2542462412