2583900640 has 48 divisors (see below), whose sum is σ = 6108600960. Its totient is φ = 1032860160.

The previous prime is 2583900629. The next prime is 2583900689. The reversal of 2583900640 is 460093852.

It is a self number, because there is not a number n which added to its sum of digits gives 2583900640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276850 + ... + 286030.

It is an arithmetic number, because the mean of its divisors is an integer number (127262520).

Almost surely, 2^2583900640 is an apocalyptic number.

2583900640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2583900640 is an abundant number, since it is smaller than the sum of its proper divisors (3524700320).

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

2583900640 is a wasteful number, since it uses less digits than its factorization.

2583900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10955 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2583900640 is about 50832.0827824318. The cubic root of 2583900640 is about 1372.2248184487.

The spelling of 2583900640 in words is "two billion, five hundred eighty-three million, nine hundred thousand, six hundred forty".