2979770976 has 288 divisors, whose sum is σ = 10818033408. Its totient is φ = 785687040.

The previous prime is 2979770971. The next prime is 2979770993. The reversal of 2979770976 is 6790779792.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979770971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705511 + ... + 709721.

It is an arithmetic number, because the mean of its divisors is an integer number (37562616).

Almost surely, 2^2979770976 is an apocalyptic number.

2979770976 is a gapful number since it is divisible by the number (26) 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 2979770976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409016704).

2979770976 is an abundant number, since it is smaller than the sum of its proper divisors (7838262432).

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

2979770976 is a wasteful number, since it uses less digits than its factorization.

2979770976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4236 counting only the distinct ones).

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

The square root of 2979770976 is about 54587.2785179844. The cubic root of 2979770976 is about 1439.0005564887. Note that the first 3 decimals are identical.

The spelling of 2979770976 in words is "two billion, nine hundred seventy-nine million, seven hundred seventy thousand, nine hundred seventy-six".