2816120640 has 112 divisors (see below), whose sum is σ = 8986723200. Its totient is φ = 747141120.

The previous prime is 2816120639. The next prime is 2816120651. The reversal of 2816120640 is 460216182.

2816120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2816120598 and 2816120607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183670 + ... + 198410.

It is an arithmetic number, because the mean of its divisors is an integer number (80238600).

Almost surely, 2^2816120640 is an apocalyptic number.

2816120640 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 2816120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493361600).

2816120640 is an abundant number, since it is smaller than the sum of its proper divisors (6170602560).

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

2816120640 is a wasteful number, since it uses less digits than its factorization.

2816120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14960 (or 14950 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2816120640 is about 53067.1333312814. The cubic root of 2816120640 is about 1412.1594996201.

The spelling of 2816120640 in words is "two billion, eight hundred sixteen million, one hundred twenty thousand, six hundred forty".