2931261312 has 256 divisors, whose sum is σ = 9835084800. Its totient is φ = 753696768.

The previous prime is 2931261299. The next prime is 2931261313. The reversal of 2931261312 is 2131621392.

It is a super-2 number, since 2×2931261312² = 17184585758455922688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2931261312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2931261313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049614 + ... + 1052402.

It is an arithmetic number, because the mean of its divisors is an integer number (38418300).

Almost surely, 2^2931261312 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 2931261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917542400).

2931261312 is an abundant number, since it is smaller than the sum of its proper divisors (6903823488).

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

2931261312 is a wasteful number, since it uses less digits than its factorization.

2931261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2841 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 2931261312 is about 54141.1240370940. The cubic root of 2931261312 is about 1431.1489799043.

The spelling of 2931261312 in words is "two billion, nine hundred thirty-one million, two hundred sixty-one thousand, three hundred twelve".