2756920320 has 1056 divisors, whose sum is σ = 12769349760. Its totient is φ = 557383680.

The previous prime is 2756920307. The next prime is 2756920321. The reversal of 2756920320 is 230296572.

2756920320 is a `hidden beast` number, since 275 + 69 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 (2756920321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511342 + ... + 74511378.

Almost surely, 2^2756920320 is an apocalyptic number.

2756920320 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 2756920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384674880).

2756920320 is an abundant number, since it is smaller than the sum of its proper divisors (10012429440).

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

2756920320 is a wasteful number, since it uses less digits than its factorization.

2756920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2756920320 is about 52506.3836119000. The cubic root of 2756920320 is about 1402.1938935597.

The spelling of 2756920320 in words is "two billion, seven hundred fifty-six million, nine hundred twenty thousand, three hundred twenty".