2590393824 has 48 divisors (see below), whose sum is σ = 7555317840. Its totient is φ = 863464320.

The previous prime is 2590393801. The next prime is 2590393843. The reversal of 2590393824 is 4283930952.

It is a happy number.

2590393824 is a `hidden beast` number, since 2 + 590 + 3 + 9 + 38 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2590393824.

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, 1498207 + ... + 1499934.

It is an arithmetic number, because the mean of its divisors is an integer number (157402455).

Almost surely, 2^2590393824 is an apocalyptic number.

2590393824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2590393824 is an abundant number, since it is smaller than the sum of its proper divisors (4964924016).

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

2590393824 is a wasteful number, since it uses less digits than its factorization.

2590393824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998160 (or 2998146 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2590393824 is about 50895.9116629224. The cubic root of 2590393824 is about 1373.3732959329.

The spelling of 2590393824 in words is "two billion, five hundred ninety million, three hundred ninety-three thousand, eight hundred twenty-four".