2590070400 has 288 divisors, whose sum is σ = 9322840800. Its totient is φ = 684656640.

The previous prime is 2590070387. The next prime is 2590070437. The reversal of 2590070400 is 40700952.

2590070400 is a `hidden beast` number, since 2 + 590 + 0 + 70 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4002877 + ... + 4003523.

It is an arithmetic number, because the mean of its divisors is an integer number (32370975).

Almost surely, 2^2590070400 is an apocalyptic number.

2590070400 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 2590070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661420400).

2590070400 is an abundant number, since it is smaller than the sum of its proper divisors (6732770400).

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

2590070400 is a wasteful number, since it uses less digits than its factorization.

2590070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2590070400 is about 50892.7342554907. The cubic root of 2590070400 is about 1373.3161359793.

The spelling of 2590070400 in words is "two billion, five hundred ninety million, seventy thousand, four hundred".