2502000400 has 135 divisors (see below), whose sum is σ = 6263902749. Its totient is φ = 960384000.

The previous prime is 2502000353. The next prime is 2502000407. The reversal of 2502000400 is 40002052.

It is a happy number.

The square root of 2502000400 is 50020.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1874197264 + 627803136 = 43292^2 + 25056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2502000407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41016370 + ... + 41016430.

Almost surely, 2^2502000400 is an apocalyptic number.

2502000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2502000400 is the 50020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502000400

2502000400 is an abundant number, since it is smaller than the sum of its proper divisors (3761902349).

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

2502000400 is an equidigital number, since it uses as much as digits as its factorization.

2502000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 2502000400 is about 1357.5707065225.

Adding to 2502000400 its reverse (40002052), we get a palindrome (2542002452).

The spelling of 2502000400 in words is "two billion, five hundred two million, four hundred", and thus it is an aban number.