2627461056 has 224 divisors, whose sum is σ = 8182782720. Its totient is φ = 735436800.

The previous prime is 2627461049. The next prime is 2627461073. The reversal of 2627461056 is 6501647262.

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, 1644450 + ... + 1646046.

It is an arithmetic number, because the mean of its divisors is an integer number (36530280).

Almost surely, 2^2627461056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2627461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091391360).

2627461056 is an abundant number, since it is smaller than the sum of its proper divisors (5555321664).

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

2627461056 is a wasteful number, since it uses less digits than its factorization.

2627461056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2627461056 is about 51258.7656503744. The cubic root of 2627461056 is about 1379.8930561948.

The spelling of 2627461056 in words is "two billion, six hundred twenty-seven million, four hundred sixty-one thousand, fifty-six".