2979086208 has 128 divisors (see below), whose sum is σ = 9158784000. Its totient is φ = 840333312.

The previous prime is 2979086207. The next prime is 2979086221. The reversal of 2979086208 is 8026809792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2979086208³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979086207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205338 + ... + 219366.

It is an arithmetic number, because the mean of its divisors is an integer number (71553000).

Almost surely, 2^2979086208 is an apocalyptic number.

2979086208 is a gapful number since it is divisible by the number (28) 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 2979086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579392000).

2979086208 is an abundant number, since it is smaller than the sum of its proper divisors (6179697792).

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

2979086208 is a wasteful number, since it uses less digits than its factorization.

2979086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14132 (or 14120 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 2979086208 is about 54581.0059269706. The cubic root of 2979086208 is about 1438.8903179242.

The spelling of 2979086208 in words is "two billion, nine hundred seventy-nine million, eighty-six thousand, two hundred eight".