2590038960 has 80 divisors (see below), whose sum is σ = 8451720960. Its totient is φ = 654324480.

The previous prime is 2590038953. The next prime is 2590038973. The reversal of 2590038960 is 698300952.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279436 + ... + 288555.

It is an arithmetic number, because the mean of its divisors is an integer number (105646512).

Almost surely, 2^2590038960 is an apocalyptic number.

2590038960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590038960 is an abundant number, since it is smaller than the sum of its proper divisors (5861682000).

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

2590038960 is a wasteful number, since it uses less digits than its factorization.

2590038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568026 (or 568020 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2590038960 is about 50892.4253695970. The cubic root of 2590038960 is about 1373.3105792148.

The spelling of 2590038960 in words is "two billion, five hundred ninety million, thirty-eight thousand, nine hundred sixty".