2163813840 has 60 divisors (see below), whose sum is σ = 7266810564. Its totient is φ = 577016832.

The previous prime is 2163813833. The next prime is 2163813877. The reversal of 2163813840 is 483183612.

2163813840 is a `hidden beast` number, since 2 + 1 + 638 + 13 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1324668816 + 839145024 = 36396^2 + 28968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2163813795 and 2163813804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1501929 + ... + 1503368.

Almost surely, 2^2163813840 is an apocalyptic number.

2163813840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2163813840 is an abundant number, since it is smaller than the sum of its proper divisors (5102996724).

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

2163813840 is a wasteful number, since it uses less digits than its factorization.

2163813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005316 (or 3005307 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2163813840 is about 46516.8124445345. The cubic root of 2163813840 is about 1293.4211693867.

It can be divided in two parts, 2163 and 813840, that added together give a triangular number (816003 = T₁₂₇₇).

The spelling of 2163813840 in words is "two billion, one hundred sixty-three million, eight hundred thirteen thousand, eight hundred forty".