2772761540 has 48 divisors (see below), whose sum is σ = 6170239152. Its totient is φ = 1043030016.

The previous prime is 2772761539. The next prime is 2772761633. The reversal of 2772761540 is 451672772.

2772761540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 135117376 + 2637644164 = 11624^2 + 51358^2 .

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, 573212 + ... + 578028.

It is an arithmetic number, because the mean of its divisors is an integer number (128546649).

Almost surely, 2^2772761540 is an apocalyptic number.

2772761540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2772761540 is an abundant number, since it is smaller than the sum of its proper divisors (3397477612).

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

2772761540 is a wasteful number, since it uses less digits than its factorization.

2772761540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The square root of 2772761540 is about 52657.0179558243. The cubic root of 2772761540 is about 1404.8744272130.

The spelling of 2772761540 in words is "two billion, seven hundred seventy-two million, seven hundred sixty-one thousand, five hundred forty".