2813631840 has 72 divisors (see below), whose sum is σ = 9601523568. Its totient is φ = 750301440.

The previous prime is 2813631839. The next prime is 2813631871. The reversal of 2813631840 is 481363182.

2813631840 is a `hidden beast` number, since 2 + 8 + 13 + 631 + 8 + 4 + 0 = 666.

2813631840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2813631795 and 2813631804.

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, 975516 + ... + 978395.

It is an arithmetic number, because the mean of its divisors is an integer number (133354494).

Almost surely, 2^2813631840 is an apocalyptic number.

2813631840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813631840 is an abundant number, since it is smaller than the sum of its proper divisors (6787891728).

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

2813631840 is a wasteful number, since it uses less digits than its factorization.

2813631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953932 (or 1953921 counting only the distinct ones).

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

The square root of 2813631840 is about 53043.6786054663. The cubic root of 2813631840 is about 1411.7433694324.

The spelling of 2813631840 in words is "two billion, eight hundred thirteen million, six hundred thirty-one thousand, eight hundred forty".