2601590400 has 240 divisors, whose sum is σ = 9601397190. Its totient is φ = 693688320.

The previous prime is 2601590353. The next prime is 2601590413. The reversal of 2601590400 is 40951062.

2601590400 is a `hidden beast` number, since 2 + 601 + 59 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1725903936 + 875686464 = 41544^2 + 29592^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 254182 + ... + 264218.

Almost surely, 2^2601590400 is an apocalyptic number.

2601590400 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 2601590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800698595).

2601590400 is an abundant number, since it is smaller than the sum of its proper divisors (6999806790).

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

2601590400 is a wasteful number, since it uses less digits than its factorization.

2601590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10073 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2601590400 is about 51005.7879068641. The cubic root of 2601590400 is about 1375.3491829424.

The spelling of 2601590400 in words is "two billion, six hundred one million, five hundred ninety thousand, four hundred".