2976679680 has 144 divisors (see below), whose sum is σ = 10238232480. Its totient is φ = 732708864.

The previous prime is 2976679679. The next prime is 2976679691. The reversal of 2976679680 is 869766792.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20106 + ... + 79734.

Almost surely, 2^2976679680 is an apocalyptic number.

2976679680 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 2976679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119116240).

2976679680 is an abundant number, since it is smaller than the sum of its proper divisors (7261552800).

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

2976679680 is a wasteful number, since it uses less digits than its factorization.

2976679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59666 (or 59652 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The square root of 2976679680 is about 54558.9560017418. The cubic root of 2976679680 is about 1438.5027647818.

The spelling of 2976679680 in words is "two billion, nine hundred seventy-six million, six hundred seventy-nine thousand, six hundred eighty".