2501604000 has 480 divisors, whose sum is σ = 10502908416. Its totient is φ = 571276800.

The previous prime is 2501603983. The next prime is 2501604023. The reversal of 2501604000 is 4061052.

It is a happy number.

2501604000 is a `hidden beast` number, since 250 + 16 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267449 + ... + 2268551.

Almost surely, 2^2501604000 is an apocalyptic number.

2501604000 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 2501604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251454208).

2501604000 is an abundant number, since it is smaller than the sum of its proper divisors (8001304416).

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

2501604000 is a wasteful number, since it uses less digits than its factorization.

2501604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2501604000 is about 50016.0374280090. The cubic root of 2501604000 is about 1357.4990079661.

Adding to 2501604000 its reverse (4061052), we get a palindrome (2505665052).

The spelling of 2501604000 in words is "two billion, five hundred one million, six hundred four thousand".