2163631400 has 96 divisors (see below), whose sum is σ = 5760434880. Its totient is φ = 740352000.

The previous prime is 2163631397. The next prime is 2163631411. The reversal of 2163631400 is 41363612.

It is a self number, because there is not a number n which added to its sum of digits gives 2163631400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896195 + ... + 898605.

It is an arithmetic number, because the mean of its divisors is an integer number (60004530).

Almost surely, 2^2163631400 is an apocalyptic number.

2163631400 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 2163631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880217440).

2163631400 is an abundant number, since it is smaller than the sum of its proper divisors (3596803480).

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

2163631400 is a wasteful number, since it uses less digits than its factorization.

2163631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2163631400 is about 46514.8513917867. The cubic root of 2163631400 is about 1293.3848171544.

The spelling of 2163631400 in words is "two billion, one hundred sixty-three million, six hundred thirty-one thousand, four hundred".