2760100056 has 256 divisors, whose sum is σ = 9544320000. Its totient is φ = 721115136.

The previous prime is 2760100003. The next prime is 2760100103. The reversal of 2760100056 is 6500010672.

2760100056 is a `hidden beast` number, since 2 + 7 + 601 + 0 + 0 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 831456 + ... + 834768.

It is an arithmetic number, because the mean of its divisors is an integer number (37282500).

Almost surely, 2^2760100056 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 2760100056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772160000).

2760100056 is an abundant number, since it is smaller than the sum of its proper divisors (6784219944).

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

2760100056 is a wasteful number, since it uses less digits than its factorization.

2760100056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2760100056 is about 52536.6544043299. The cubic root of 2760100056 is about 1402.7327669944.

The spelling of 2760100056 in words is "two billion, seven hundred sixty million, one hundred thousand, fifty-six".