2590496960 has 28 divisors (see below), whose sum is σ = 6168621648. Its totient is φ = 1036198656.

The previous prime is 2590496939. The next prime is 2590496963. The reversal of 2590496960 is 696940952.

It is a junction number, because it is equal to n+sod(n) for n = 2590496899 and 2590496908.

It is not an unprimeable number, because it can be changed into a prime (2590496963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4047332 + ... + 4047971.

It is an arithmetic number, because the mean of its divisors is an integer number (220307916).

Almost surely, 2^2590496960 is an apocalyptic number.

2590496960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590496960 is an abundant number, since it is smaller than the sum of its proper divisors (3578124688).

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

2590496960 is an equidigital number, since it uses as much as digits as its factorization.

2590496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095320 (or 8095310 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 50.

The square root of 2590496960 is about 50896.9248579912. The cubic root of 2590496960 is about 1373.3915225499.

The spelling of 2590496960 in words is "two billion, five hundred ninety million, four hundred ninety-six thousand, nine hundred sixty".