2756080800 has 864 divisors, whose sum is σ = 11845491840. Its totient is φ = 594739200.

The previous prime is 2756080781. The next prime is 2756080807. The reversal of 2756080800 is 80806572.

It is a super-2 number, since 2×2756080800² = 15191962752257280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2756080807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30967156 + ... + 30967244.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^2756080800 is an apocalyptic number.

2756080800 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 2756080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922745920).

2756080800 is an abundant number, since it is smaller than the sum of its proper divisors (9089411040).

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

2756080800 is a wasteful number, since it uses less digits than its factorization.

2756080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2756080800 is about 52498.3885466973. The cubic root of 2756080800 is about 1402.0515500278.

The spelling of 2756080800 in words is "two billion, seven hundred fifty-six million, eighty thousand, eight hundred".