2756332464 has 80 divisors (see below), whose sum is σ = 7416311040. Its totient is φ = 881314560.

The previous prime is 2756332459. The next prime is 2756332507. The reversal of 2756332464 is 4642336572.

It is a super-2 number, since 2×2756332464² = 15194737304200622592, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 115167 + ... + 137025.

It is an arithmetic number, because the mean of its divisors is an integer number (92703888).

Almost surely, 2^2756332464 is an apocalyptic number.

2756332464 is a gapful number since it is divisible by the number (24) 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 2756332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708155520).

2756332464 is an abundant number, since it is smaller than the sum of its proper divisors (4659978576).

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

2756332464 is a wasteful number, since it uses less digits than its factorization.

2756332464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21978 (or 21972 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The square root of 2756332464 is about 52500.7853655543. The cubic root of 2756332464 is about 1402.0942235666.

The spelling of 2756332464 in words is "two billion, seven hundred fifty-six million, three hundred thirty-two thousand, four hundred sixty-four".