2506003600 has 45 divisors (see below), whose sum is σ = 6023079993. Its totient is φ = 1002000960.

The previous prime is 2506003573. The next prime is 2506003601. The reversal of 2506003600 is 63006052.

The square root of 2506003600 is 50060.

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

It can be written as a sum of positive squares in only one way, i.e., 902161296 + 1603842304 = 30036^2 + 40048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2506003601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 999949 + ... + 1002451.

Almost surely, 2^2506003600 is an apocalyptic number.

2506003600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2506003600 is the 50060-th square number.

It is an amenable number.

2506003600 is an abundant number, since it is smaller than the sum of its proper divisors (3517076393).

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

2506003600 is an frugal number, since it uses more digits than its factorization.

2506003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The cubic root of 2506003600 is about 1358.2943583064.

Adding to 2506003600 its reverse (63006052), we get a palindrome (2569009652).

The spelling of 2506003600 in words is "two billion, five hundred six million, three thousand, six hundred".