2756533680 has 480 divisors, whose sum is σ = 10724313600. Its totient is φ = 653930496.

The previous prime is 2756533673. The next prime is 2756533711. The reversal of 2756533680 is 863356572.

2756533680 is a `hidden beast` number, since 2 + 7 + 56 + 533 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6278901 + ... + 6279339.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^2756533680 is an apocalyptic number.

2756533680 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 2756533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800).

2756533680 is an abundant number, since it is smaller than the sum of its proper divisors (7967779920).

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

2756533680 is a wasteful number, since it uses less digits than its factorization.

2756533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 2756533680 is about 52502.7016447725. The cubic root of 2756533680 is about 1402.1283409950.

The spelling of 2756533680 in words is "two billion, seven hundred fifty-six million, five hundred thirty-three thousand, six hundred eighty".