2590274729964 has 48 divisors (see below), whose sum is σ = 6054931491840. Its totient is φ = 861859979520.

The previous prime is 2590274729953. The next prime is 2590274729969. The reversal of 2590274729964 is 4699274720952.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2590274729895 and 2590274729904.

It is not an unprimeable number, because it can be changed into a prime (2590274729969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72273529 + ... + 72309359.

It is an arithmetic number, because the mean of its divisors is an integer number (126144406080).

Almost surely, 2^{2590274729964} is an apocalyptic number.

It is an amenable number.

2590274729964 is an abundant number, since it is smaller than the sum of its proper divisors (3464656761876).

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

2590274729964 is a wasteful number, since it uses less digits than its factorization.

2590274729964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46590 (or 46588 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 2590274729964 in words is "two trillion, five hundred ninety billion, two hundred seventy-four million, seven hundred twenty-nine thousand, nine hundred sixty-four".