2756116000 has 96 divisors (see below), whose sum is σ = 7387511040. Its totient is φ = 1002208000.

The previous prime is 2756115997. The next prime is 2756116001. The reversal of 2756116000 is 6116572.

It is a self number, because there is not a number n which added to its sum of digits gives 2756116000.

It is not an unprimeable number, because it can be changed into a prime (2756116001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12681 + ... + 75319.

It is an arithmetic number, because the mean of its divisors is an integer number (76953240).

Almost surely, 2^2756116000 is an apocalyptic number.

2756116000 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 2756116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693755520).

2756116000 is an abundant number, since it is smaller than the sum of its proper divisors (4631395040).

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

2756116000 is a wasteful number, since it uses less digits than its factorization.

2756116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62675 (or 62657 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2756116000 is about 52498.7237940124. The cubic root of 2756116000 is about 1402.0575188906.

The spelling of 2756116000 in words is "two billion, seven hundred fifty-six million, one hundred sixteen thousand".