2775764640 has 96 divisors (see below), whose sum is σ = 9538554816. Its totient is φ = 672911360.

The previous prime is 2775764599. The next prime is 2775764669. The reversal of 2775764640 is 464675772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2775764640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257577 + ... + 268136.

It is an arithmetic number, because the mean of its divisors is an integer number (99359946).

Almost surely, 2^2775764640 is an apocalyptic number.

2775764640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2775764640 is an abundant number, since it is smaller than the sum of its proper divisors (6762790176).

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

2775764640 is a wasteful number, since it uses less digits than its factorization.

2775764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525742 (or 525734 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The square root of 2775764640 is about 52685.5259060778. The cubic root of 2775764640 is about 1405.3814375341.

The spelling of 2775764640 in words is "two billion, seven hundred seventy-five million, seven hundred sixty-four thousand, six hundred forty".