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2540443122 = 233725916273
BaseRepresentation
bin1001011101101100…
…0001010111110010
320120001021212211000
42113123001113302
520200323134442
61100030302430
7116645260500
oct22733012762
96501255730
102540443122
111094017578
125aa957a16
1331641c8a9
141a157b670
15ed068d4c
hex976c15f2

2540443122 has 96 divisors (see below), whose sum is σ = 6678849600. Its totient is φ = 713494656.

The previous prime is 2540443121. The next prime is 2540443141. The reversal of 2540443122 is 2213440452.

It is a super-2 number, since 2×25404431222 = 12907702512234213768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2540443121) 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 47 ways as a sum of consecutive naturals, for example, 147978 + ... + 164250.

It is an arithmetic number, because the mean of its divisors is an integer number (69571350).

Almost surely, 22540443122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540443122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339424800).

2540443122 is an abundant number, since it is smaller than the sum of its proper divisors (4138406478).

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

2540443122 is a wasteful number, since it uses less digits than its factorization.

2540443122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16357 (or 16344 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2540443122 is about 50402.8086717397. The cubic root of 2540443122 is about 1364.4883289338.

Adding to 2540443122 its reverse (2213440452), we get a palindrome (4753883574).

The spelling of 2540443122 in words is "two billion, five hundred forty million, four hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 98 118 126 147 177 189 294 354 378 413 441 531 826 882 1062 1239 1323 1593 2478 2646 2891 3186 3717 5782 7434 8673 11151 16273 17346 22302 26019 32546 48819 52038 78057 97638 113911 146457 156114 227822 292914 341733 439371 683466 797377 878742 960107 1025199 1594754 1920214 2050398 2392131 2880321 3075597 4784262 5760642 6151194 6720749 7176393 8640963 13441498 14352786 17281926 20162247 21529179 25922889 40324494 43058358 47045243 51845778 60486741 94090486 120973482 141135729 181460223 282271458 362920446 423407187 846814374 1270221561 2540443122