2590745472 has 384 divisors, whose sum is σ = 9011708160. Its totient is φ = 725594112.

The previous prime is 2590745467. The next prime is 2590745489. The reversal of 2590745472 is 2745470952.

2590745472 is a `hidden beast` number, since 2 + 590 + 7 + 4 + 54 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15894063 + ... + 15894225.

It is an arithmetic number, because the mean of its divisors is an integer number (23467990).

Almost surely, 2^2590745472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505854080).

2590745472 is an abundant number, since it is smaller than the sum of its proper divisors (6420962688).

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

2590745472 is an equidigital number, since it uses as much as digits as its factorization.

2590745472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2590745472 is about 50899.3661257191. The cubic root of 2590745472 is about 1373.4354386229.

The spelling of 2590745472 in words is "two billion, five hundred ninety million, seven hundred forty-five thousand, four hundred seventy-two".