2644540560 has 240 divisors, whose sum is σ = 9260359680. Its totient is φ = 675578880.

The previous prime is 2644540513. The next prime is 2644540579. The reversal of 2644540560 is 650454462.

2644540560 is a `hidden beast` number, since 2 + 6 + 44 + 54 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2644540560² = 13987189546970227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2432337 + ... + 2433423.

It is an arithmetic number, because the mean of its divisors is an integer number (38584832).

Almost surely, 2^2644540560 is an apocalyptic number.

2644540560 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 2644540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630179840).

2644540560 is an abundant number, since it is smaller than the sum of its proper divisors (6615819120).

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

2644540560 is a wasteful number, since it uses less digits than its factorization.

2644540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2644540560 is about 51425.0965968952. The cubic root of 2644540560 is about 1382.8765454929.

The spelling of 2644540560 in words is "two billion, six hundred forty-four million, five hundred forty thousand, five hundred sixty".