2996780976 has 240 divisors, whose sum is σ = 10020192000. Its totient is φ = 849325824.

The previous prime is 2996780971. The next prime is 2996781031. The reversal of 2996780976 is 6790876992.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2996780971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4054815 + ... + 4055553.

It is an arithmetic number, because the mean of its divisors is an integer number (41750800).

Almost surely, 2^2996780976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996780976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010096000).

2996780976 is an abundant number, since it is smaller than the sum of its proper divisors (7023411024).

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

2996780976 is a wasteful number, since it uses less digits than its factorization.

2996780976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The square root of 2996780976 is about 54742.8623292571. The cubic root of 2996780976 is about 1441.7335372519.

The spelling of 2996780976 in words is "two billion, nine hundred ninety-six million, seven hundred eighty thousand, nine hundred seventy-six".