2163934640 has 160 divisors (see below), whose sum is σ = 5948202624. Its totient is φ = 716636160.

The previous prime is 2163934639. The next prime is 2163934657. The reversal of 2163934640 is 464393612.

It is a happy number.

It is a super-2 number, since 2×2163934640² = 9365226252383859200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2163934594 and 2163934603.

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 31 ways as a sum of consecutive naturals, for example, 3750032 + ... + 3750608.

Almost surely, 2^2163934640 is an apocalyptic number.

2163934640 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 2163934640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974101312).

2163934640 is an abundant number, since it is smaller than the sum of its proper divisors (3784267984).

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

2163934640 is a wasteful number, since it uses less digits than its factorization.

2163934640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 2163934640 is about 46518.1108816770. The cubic root of 2163934640 is about 1293.4452383658.

The spelling of 2163934640 in words is "two billion, one hundred sixty-three million, nine hundred thirty-four thousand, six hundred forty".