2496882400 has 72 divisors (see below), whose sum is σ = 6136716600. Its totient is φ = 992002560.

The previous prime is 2496882389. The next prime is 2496882407. The reversal of 2496882400 is 42886942.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2496882407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108727 + ... + 129673.

It is an arithmetic number, because the mean of its divisors is an integer number (85232175).

Almost surely, 2^2496882400 is an apocalyptic number.

2496882400 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 2496882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068358300).

2496882400 is an abundant number, since it is smaller than the sum of its proper divisors (3639834200).

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

2496882400 is a wasteful number, since it uses less digits than its factorization.

2496882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21116 (or 21103 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 2496882400 is about 49968.8142745053. The cubic root of 2496882400 is about 1356.6444090655.

The spelling of 2496882400 in words is "two billion, four hundred ninety-six million, eight hundred eighty-two thousand, four hundred".