2756290560 has 384 divisors, whose sum is σ = 9510359040. Its totient is φ = 679804928.

The previous prime is 2756290553. The next prime is 2756290561. The reversal of 2756290560 is 650926572.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2756290560² = 15194275302290227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2756290561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33208279 + ... + 33208361.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^2756290560 is an apocalyptic number.

2756290560 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 2756290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

2756290560 is an abundant number, since it is smaller than the sum of its proper divisors (6754068480).

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

2756290560 is a wasteful number, since it uses less digits than its factorization.

2756290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 2756290560 is about 52500.3862842932. The cubic root of 2756290560 is about 1402.0871182730.

The spelling of 2756290560 in words is "two billion, seven hundred fifty-six million, two hundred ninety thousand, five hundred sixty".