2722464840960 has 216 divisors, whose sum is σ = 9426758981640. Its totient is φ = 725426896896.

The previous prime is 2722464840959. The next prime is 2722464841021. The reversal of 2722464840960 is 690484642272.

It is a happy number.

2722464840960 is a `hidden beast` number, since 2 + 7 + 224 + 6 + 4 + 8 + 409 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585628989696 + 2136835851264 = 765264^2 + 1461792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2722464840897 and 2722464840906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14850336 + ... + 15032544.

Almost surely, 2^{2722464840960} is an apocalyptic number.

2722464840960 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 2722464840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713379490820).

2722464840960 is an abundant number, since it is smaller than the sum of its proper divisors (6704294140680).

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

2722464840960 is a wasteful number, since it uses less digits than its factorization.

2722464840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183533 (or 183516 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2722464840960 in words is "two trillion, seven hundred twenty-two billion, four hundred sixty-four million, eight hundred forty thousand, nine hundred sixty".