2487368800 has 72 divisors (see below), whose sum is σ = 6939774576. Its totient is φ = 852810240.

The previous prime is 2487368693. The next prime is 2487368803. The reversal of 2487368800 is 88637842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2487368803) 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, 216487 + ... + 227686.

It is an arithmetic number, because the mean of its divisors is an integer number (96385758).

Almost surely, 2^2487368800 is an apocalyptic number.

2487368800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2487368800 is an abundant number, since it is smaller than the sum of its proper divisors (4452405776).

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

2487368800 is a wasteful number, since it uses less digits than its factorization.

2487368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444200 (or 444187 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 2487368800 is about 49873.5280484547. The cubic root of 2487368800 is about 1354.9191910887.

The spelling of 2487368800 in words is "two billion, four hundred eighty-seven million, three hundred sixty-eight thousand, eight hundred".