2742972560 has 20 divisors (see below), whose sum is σ = 6377411388. Its totient is φ = 1097188992.

The previous prime is 2742972539. The next prime is 2742972577. The reversal of 2742972560 is 652792472.

It can be written as a sum of positive squares in 2 ways, for example, as 1037612944 + 1705359616 = 32212^2 + 41296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17143499 + ... + 17143658.

Almost surely, 2^2742972560 is an apocalyptic number.

2742972560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742972560 is an abundant number, since it is smaller than the sum of its proper divisors (3634438828).

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

2742972560 is a wasteful number, since it uses less digits than its factorization.

2742972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34287170 (or 34287164 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The square root of 2742972560 is about 52373.3955362835. The cubic root of 2742972560 is about 1399.8252434929.

The spelling of 2742972560 in words is "two billion, seven hundred forty-two million, nine hundred seventy-two thousand, five hundred sixty".