2672306560 has 256 divisors, whose sum is σ = 8033748480. Its totient is φ = 825753600.

The previous prime is 2672306557. The next prime is 2672306579. The reversal of 2672306560 is 656032762.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10397952 + ... + 10398208.

It is an arithmetic number, because the mean of its divisors is an integer number (31381830).

Almost surely, 2^2672306560 is an apocalyptic number.

2672306560 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 2672306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016874240).

2672306560 is an abundant number, since it is smaller than the sum of its proper divisors (5361441920).

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

2672306560 is a wasteful number, since it uses less digits than its factorization.

2672306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 2672306560 is about 51694.3571388599. The cubic root of 2672306560 is about 1387.6994812074.

The spelling of 2672306560 in words is "two billion, six hundred seventy-two million, three hundred six thousand, five hundred sixty".