2163431600 has 90 divisors (see below), whose sum is σ = 5713241100. Its totient is φ = 786684800.

The previous prime is 2163431593. The next prime is 2163431651. The reversal of 2163431600 is 61343612.

It is a self number, because there is not a number n which added to its sum of digits gives 2163431600.

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 17 ways as a sum of consecutive naturals, for example, 26051 + ... + 70749.

Almost surely, 2^2163431600 is an apocalyptic number.

2163431600 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 2163431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856620550).

2163431600 is an abundant number, since it is smaller than the sum of its proper divisors (3549809500).

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

2163431600 is a wasteful number, since it uses less digits than its factorization.

2163431600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44739 (or 44717 counting only the distinct ones).

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

The square root of 2163431600 is about 46512.7036410484. The cubic root of 2163431600 is about 1293.3450034964.

The spelling of 2163431600 in words is "two billion, one hundred sixty-three million, four hundred thirty-one thousand, six hundred".