2643772560 has 480 divisors, whose sum is σ = 9974361600. Its totient is φ = 575139840.

The previous prime is 2643772529. The next prime is 2643772583. The reversal of 2643772560 is 652773462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17743366 + ... + 17743514.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2^2643772560 is an apocalyptic number.

2643772560 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 2643772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987180800).

2643772560 is an abundant number, since it is smaller than the sum of its proper divisors (7330589040).

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

2643772560 is a wasteful number, since it uses less digits than its factorization.

2643772560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 2643772560 is about 51417.6288834870. The cubic root of 2643772560 is about 1382.7426656514.

The spelling of 2643772560 in words is "two billion, six hundred forty-three million, seven hundred seventy-two thousand, five hundred sixty".