2976846984 has 256 divisors, whose sum is σ = 8944992000. Its totient is φ = 915425280.

The previous prime is 2976846949. The next prime is 2976846989. The reversal of 2976846984 is 4896486792.

2976846984 is a `hidden beast` number, since 2 + 97 + 6 + 8 + 469 + 84 = 666.

It is a super-2 number, since 2×2976846984² = 17723235932299792512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2976846989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17207122 + ... + 17207294.

It is an arithmetic number, because the mean of its divisors is an integer number (34941375).

Almost surely, 2^2976846984 is an apocalyptic number.

2976846984 is a gapful number since it is divisible by the number (24) 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 2976846984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472496000).

2976846984 is an abundant number, since it is smaller than the sum of its proper divisors (5968145016).

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

2976846984 is a wasteful number, since it uses less digits than its factorization.

2976846984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 2976846984 is about 54560.4892206806. The cubic root of 2976846984 is about 1438.5297145809.

The spelling of 2976846984 in words is "two billion, nine hundred seventy-six million, eight hundred forty-six thousand, nine hundred eighty-four".