2502304000 has 144 divisors (see below), whose sum is σ = 7124697216. Its totient is φ = 857856000.

The previous prime is 2502303983. The next prime is 2502304027. The reversal of 2502304000 is 4032052.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218415 + ... + 229585.

It is an arithmetic number, because the mean of its divisors is an integer number (49477064).

Almost surely, 2^2502304000 is an apocalyptic number.

2502304000 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 2502304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562348608).

2502304000 is an abundant number, since it is smaller than the sum of its proper divisors (4622393216).

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

2502304000 is an equidigital number, since it uses as much as digits as its factorization.

2502304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11185 counting only the distinct ones).

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

The square root of 2502304000 is about 50023.0346940287. The cubic root of 2502304000 is about 1357.6256148266.

Adding to 2502304000 its reverse (4032052), we get a palindrome (2506336052).

It can be divided in two parts, 250 and 2304000, that multiplied together give a square (576000000 = 24000²).

The spelling of 2502304000 in words is "two billion, five hundred two million, three hundred four thousand".