2976451968 has 128 divisors (see below), whose sum is σ = 9059166720. Its totient is φ = 848203776.

The previous prime is 2976451967. The next prime is 2976451993. The reversal of 2976451968 is 8691546792.

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

It is a super-2 number, since 2×2976451968² = 17718532635622146048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976451967) 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, 1227205 + ... + 1229627.

It is an arithmetic number, because the mean of its divisors is an integer number (70774740).

Almost surely, 2^2976451968 is an apocalyptic number.

2976451968 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 2976451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529583360).

2976451968 is an abundant number, since it is smaller than the sum of its proper divisors (6082714752).

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

2976451968 is a wasteful number, since it uses less digits than its factorization.

2976451968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2892 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The square root of 2976451968 is about 54556.8691183796. The cubic root of 2976451968 is about 1438.4660826696.

The spelling of 2976451968 in words is "two billion, nine hundred seventy-six million, four hundred fifty-one thousand, nine hundred sixty-eight".