2742643620 has 72 divisors (see below), whose sum is σ = 8328148920. Its totient is φ = 730598400.

The previous prime is 2742643619. The next prime is 2742643637. The reversal of 2742643620 is 263462472.

2742643620 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 643 + 6 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 236196 + 2742407424 = 486^2 + 52368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174070 + ... + 189170.

It is an arithmetic number, because the mean of its divisors is an integer number (115668735).

Almost surely, 2^2742643620 is an apocalyptic number.

2742643620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742643620 is an abundant number, since it is smaller than the sum of its proper divisors (5585505300).

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

2742643620 is a wasteful number, since it uses less digits than its factorization.

2742643620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125 (or 16120 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2742643620 is about 52370.2551072648. The cubic root of 2742643620 is about 1399.7692851104.

The spelling of 2742643620 in words is "two billion, seven hundred forty-two million, six hundred forty-three thousand, six hundred twenty".