2590832640 has 576 divisors, whose sum is σ = 9881857440. Its totient is φ = 576716800.

The previous prime is 2590832627. The next prime is 2590832641. The reversal of 2590832640 is 462380952.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590832641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63191020 + ... + 63191060.

Almost surely, 2^2590832640 is an apocalyptic number.

2590832640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940928720).

2590832640 is an abundant number, since it is smaller than the sum of its proper divisors (7291024800).

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

2590832640 is a wasteful number, since it uses less digits than its factorization.

2590832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2590832640 is about 50900.2223963707. Note that the first 3 decimals coincide. The cubic root of 2590832640 is about 1373.4508419471.

The spelling of 2590832640 in words is "two billion, five hundred ninety million, eight hundred thirty-two thousand, six hundred forty".