2501601600 has 84 divisors (see below), whose sum is σ = 8207353664. Its totient is φ = 667092480.

The previous prime is 2501601581. The next prime is 2501601623. The reversal of 2501601600 is 61061052.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255784 + ... + 265383.

Almost surely, 2^2501601600 is an apocalyptic number.

2501601600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2501601600 is an abundant number, since it is smaller than the sum of its proper divisors (5705752064).

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

2501601600 is a wasteful number, since it uses less digits than its factorization.

2501601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521192 (or 521177 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2501601600 is about 50016.0134356988. The cubic root of 2501601600 is about 1357.4985738448.

Adding to 2501601600 its reverse (61061052), we get a palindrome (2562662652).

The spelling of 2501601600 in words is "two billion, five hundred one million, six hundred one thousand, six hundred".