2756164320 has 1152 divisors, whose sum is σ = 12944655360. Its totient is φ = 537477120.

The previous prime is 2756164289. The next prime is 2756164349. The reversal of 2756164320 is 234616572.

2756164320 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 1 + 643 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67223500 + ... + 67223540.

It is an arithmetic number, because the mean of its divisors is an integer number (11236680).

Almost surely, 2^2756164320 is an apocalyptic number.

2756164320 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 2756164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472327680).

2756164320 is an abundant number, since it is smaller than the sum of its proper divisors (10188491040).

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

2756164320 is a wasteful number, since it uses less digits than its factorization.

2756164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2756164320 is about 52499.1839936584. The cubic root of 2756164320 is about 1402.0657124286.

It can be divided in two parts, 275616 and 4320, that added together give a 7-th power (279936 = 6⁷).

The spelling of 2756164320 in words is "two billion, seven hundred fifty-six million, one hundred sixty-four thousand, three hundred twenty".