2979275760 has 60 divisors (see below), whose sum is σ = 10005403512. Its totient is φ = 794473344.

The previous prime is 2979275737. The next prime is 2979275777. The reversal of 2979275760 is 675729792.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 2979275697 and 2979275706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2068222 + ... + 2069661.

Almost surely, 2^2979275760 is an apocalyptic number.

2979275760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2979275760 is an abundant number, since it is smaller than the sum of its proper divisors (7026127752).

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

2979275760 is a wasteful number, since it uses less digits than its factorization.

2979275760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137902 (or 4137893 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 2979275760 is about 54582.7423275892. The cubic root of 2979275760 is about 1438.9208349725.

The spelling of 2979275760 in words is "two billion, nine hundred seventy-nine million, two hundred seventy-five thousand, seven hundred sixty".