2912822640 has 960 divisors, whose sum is σ = 13180406400. Its totient is φ = 585252864.

The previous prime is 2912822543. The next prime is 2912822659. The reversal of 2912822640 is 462282192.

2912822640 is a `hidden beast` number, since 2 + 9 + 1 + 2 + 8 + 2 + 2 + 640 = 666.

2912822640 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2912822595 and 2912822604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39901644 + ... + 39901716.

It is an arithmetic number, because the mean of its divisors is an integer number (13729590).

Almost surely, 2^2912822640 is an apocalyptic number.

2912822640 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 2912822640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590203200).

2912822640 is an abundant number, since it is smaller than the sum of its proper divisors (10267583760).

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

2912822640 is a wasteful number, since it uses less digits than its factorization.

2912822640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

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

The square root of 2912822640 is about 53970.5719814048. The cubic root of 2912822640 is about 1428.1418544201.

The spelling of 2912822640 in words is "two billion, nine hundred twelve million, eight hundred twenty-two thousand, six hundred forty".