2979797760 has 288 divisors, whose sum is σ = 10662812160. Its totient is φ = 787968000.

The previous prime is 2979797749. The next prime is 2979797767. The reversal of 2979797760 is 677979792.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2979797767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5218275 + ... + 5218845.

Almost surely, 2^2979797760 is an apocalyptic number.

2979797760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331406080).

2979797760 is an abundant number, since it is smaller than the sum of its proper divisors (7683014400).

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

2979797760 is a wasteful number, since it uses less digits than its factorization.

2979797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 21003948, while the sum is 63.

The square root of 2979797760 is about 54587.5238493193. The cubic root of 2979797760 is about 1439.0048680142.

The spelling of 2979797760 in words is "two billion, nine hundred seventy-nine million, seven hundred ninety-seven thousand, seven hundred sixty".