2590850640 has 320 divisors, whose sum is σ = 10085068800. Its totient is φ = 536481792.

The previous prime is 2590850573. The next prime is 2590850681. The reversal of 2590850640 is 460580952.

2590850640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732396 + ... + 735924.

It is an arithmetic number, because the mean of its divisors is an integer number (31515840).

Almost surely, 2^2590850640 is an apocalyptic number.

2590850640 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 2590850640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042534400).

2590850640 is an abundant number, since it is smaller than the sum of its proper divisors (7494218160).

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

2590850640 is a wasteful number, since it uses less digits than its factorization.

2590850640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 2590850640 is about 50900.3992125799. The cubic root of 2590850640 is about 1373.4540226566.

The spelling of 2590850640 in words is "two billion, five hundred ninety million, eight hundred fifty thousand, six hundred forty".