2863616400 has 90 divisors (see below), whose sum is σ = 9937556850. Its totient is φ = 763630080.

The previous prime is 2863616387. The next prime is 2863616401. The reversal of 2863616400 is 46163682.

2863616400 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 6 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 458302464 + 2405313936 = 21408^2 + 49044^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2863616401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 394125 + ... + 401324.

Almost surely, 2^2863616400 is an apocalyptic number.

2863616400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2863616400 is an abundant number, since it is smaller than the sum of its proper divisors (7073940450).

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

2863616400 is a wasteful number, since it uses less digits than its factorization.

2863616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795473 (or 795459 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2863616400 is about 53512.7685697535. The cubic root of 2863616400 is about 1420.0542860950.

The spelling of 2863616400 in words is "two billion, eight hundred sixty-three million, six hundred sixteen thousand, four hundred".