2503002400 has 72 divisors (see below), whose sum is σ = 6125232960. Its totient is φ = 998780160.

The previous prime is 2503002389. The next prime is 2503002401. The reversal of 2503002400 is 42003052.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2503002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347637 + ... + 354763.

It is an arithmetic number, because the mean of its divisors is an integer number (85072680).

Almost surely, 2^2503002400 is an apocalyptic number.

2503002400 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 2503002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062616480).

2503002400 is an abundant number, since it is smaller than the sum of its proper divisors (3622230560).

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

2503002400 is a wasteful number, since it uses less digits than its factorization.

2503002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2503002400 is about 50030.0149910032. The cubic root of 2503002400 is about 1357.7519087716.

Adding to 2503002400 its reverse (42003052), we get a palindrome (2545005452).

The spelling of 2503002400 in words is "two billion, five hundred three million, two thousand, four hundred".