2747984960 has 56 divisors (see below), whose sum is σ = 7478450880. Its totient is φ = 942165504.

The previous prime is 2747984959. The next prime is 2747984971. The reversal of 2747984960 is 694897472.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 2747984896 and 2747984905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611150 + ... + 615629.

Almost surely, 2^2747984960 is an apocalyptic number.

2747984960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2747984960 is an abundant number, since it is smaller than the sum of its proper divisors (4730465920).

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

2747984960 is a wasteful number, since it uses less digits than its factorization.

2747984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226803 (or 1226793 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 56.

The square root of 2747984960 is about 52421.2262351807. The cubic root of 2747984960 is about 1400.6773864811.

The spelling of 2747984960 in words is "two billion, seven hundred forty-seven million, nine hundred eighty-four thousand, nine hundred sixty".