2765752080 has 480 divisors, whose sum is σ = 10924300800. Its totient is φ = 573640704.

The previous prime is 2765752063. The next prime is 2765752097. The reversal of 2765752080 is 802575672.

It is an interprime number because it is at equal distance from previous prime (2765752063) and next prime (2765752097).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 12077406 + ... + 12077634.

It is an arithmetic number, because the mean of its divisors is an integer number (22758960).

Almost surely, 2^2765752080 is an apocalyptic number.

2765752080 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 2765752080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462150400).

2765752080 is an abundant number, since it is smaller than the sum of its proper divisors (8158548720).

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

2765752080 is a wasteful number, since it uses less digits than its factorization.

2765752080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 2765752080 is about 52590.4181386686. The cubic root of 2765752080 is about 1403.6896011082.

The spelling of 2765752080 in words is "two billion, seven hundred sixty-five million, seven hundred fifty-two thousand, eighty".