2756164160 has 56 divisors (see below), whose sum is σ = 6614891520. Its totient is φ = 1093768704.

The previous prime is 2756164153. The next prime is 2756164171. The reversal of 2756164160 is 614616572.

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 7 ways as a sum of consecutive naturals, for example, 6731 + ... + 74549.

Almost surely, 2^2756164160 is an apocalyptic number.

2756164160 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 2756164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307445760).

2756164160 is an abundant number, since it is smaller than the sum of its proper divisors (3858727360).

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

2756164160 is a wasteful number, since it uses less digits than its factorization.

2756164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67963 (or 67953 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2756164160 is about 52499.1824698252. The cubic root of 2756164160 is about 1402.0656852979.

The spelling of 2756164160 in words is "two billion, seven hundred fifty-six million, one hundred sixty-four thousand, one hundred sixty".