2930944252032 has 512 divisors, whose sum is σ = 9301293504000. Its totient is φ = 906453909504.

The previous prime is 2930944251973. The next prime is 2930944252043. The reversal of 2930944252032 is 2302524490392.

2930944252032 is a `hidden beast` number, since 2 + 9 + 3 + 0 + 94 + 4 + 2 + 520 + 32 = 666.

It is a super-2 number, since 2×2930944252032² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374940988 + ... + 374948804.

It is an arithmetic number, because the mean of its divisors is an integer number (18166588875).

Almost surely, 2^{2930944252032} 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 2930944252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650646752000).

2930944252032 is an abundant number, since it is smaller than the sum of its proper divisors (6370349251968).

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

2930944252032 is a wasteful number, since it uses less digits than its factorization.

2930944252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2930944252032 in words is "two trillion, nine hundred thirty billion, nine hundred forty-four million, two hundred fifty-two thousand, thirty-two".