2590412538 has 72 divisors (see below), whose sum is σ = 6360822432. Its totient is φ = 701135568.

The previous prime is 2590412537. The next prime is 2590412563. The reversal of 2590412538 is 8352140952.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2590412496 and 2590412505.

It is not an unprimeable number, because it can be changed into a prime (2590412537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93931 + ... + 118337.

It is an arithmetic number, because the mean of its divisors is an integer number (88344756).

Almost surely, 2^2590412538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590412538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180411216).

2590412538 is an abundant number, since it is smaller than the sum of its proper divisors (3770409894).

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

2590412538 is a wasteful number, since it uses less digits than its factorization.

2590412538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24464 (or 24438 counting only the distinct ones).

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

The square root of 2590412538 is about 50896.0955083983. The cubic root of 2590412538 is about 1373.3766031837.

The spelling of 2590412538 in words is "two billion, five hundred ninety million, four hundred twelve thousand, five hundred thirty-eight".