2765260512 has 480 divisors, whose sum is σ = 9938396160. Its totient is φ = 746807040.

The previous prime is 2765260451. The next prime is 2765260523. The reversal of 2765260512 is 2150625672.

2765260512 is a `hidden beast` number, since 27 + 65 + 2 + 60 + 512 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64308363 + ... + 64308405.

It is an arithmetic number, because the mean of its divisors is an integer number (20704992).

Almost surely, 2^2765260512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969198080).

2765260512 is an abundant number, since it is smaller than the sum of its proper divisors (7173135648).

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

2765260512 is an equidigital number, since it uses as much as digits as its factorization.

2765260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2765260512 is about 52585.7443800123. The cubic root of 2765260512 is about 1403.6064350888.

The spelling of 2765260512 in words is "two billion, seven hundred sixty-five million, two hundred sixty thousand, five hundred twelve".