2504001600 has 315 divisors, whose sum is σ = 9270772797. Its totient is φ = 662929920.

The previous prime is 2504001581. The next prime is 2504001601. The reversal of 2504001600 is 61004052.

It is a happy number.

The square root of 2504001600 is 50040.

It is a perfect power (a square), and thus also a powerful number.

2504001600 is a `hidden beast` number, since 2 + 504 + 0 + 0 + 160 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 901440576 + 1602561024 = 30024^2 + 40032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2504001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18014331 + ... + 18014469.

Almost surely, 2^2504001600 is an apocalyptic number.

2504001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2504001600 is the 50040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504001600

2504001600 is an abundant number, since it is smaller than the sum of its proper divisors (6766771197).

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

2504001600 is an equidigital number, since it uses as much as digits as its factorization.

2504001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 149 counting only the distinct ones).

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

The cubic root of 2504001600 is about 1357.9325565169.

Adding to 2504001600 its reverse (61004052), we get a palindrome (2565005652).

The spelling of 2504001600 in words is "two billion, five hundred four million, one thousand, six hundred".