2868624400 has 60 divisors (see below), whose sum is σ = 7191539712. Its totient is φ = 1097557120.

The previous prime is 2868624397. The next prime is 2868624403. The reversal of 2868624400 is 44268682.

It is an interprime number because it is at equal distance from previous prime (2868624397) and next prime (2868624403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2868624403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146704 + ... + 165103.

Almost surely, 2^2868624400 is an apocalyptic number.

2868624400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2868624400 is an abundant number, since it is smaller than the sum of its proper divisors (4322915312).

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

2868624400 is a wasteful number, since it uses less digits than its factorization.

2868624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311848 (or 311837 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 2868624400 is about 53559.5407000471. The cubic root of 2868624400 is about 1420.8816187633.

The spelling of 2868624400 in words is "two billion, eight hundred sixty-eight million, six hundred twenty-four thousand, four hundred".