2976291648 has 224 divisors, whose sum is σ = 9855037440. Its totient is φ = 872640000.

The previous prime is 2976291623. The next prime is 2976291649. The reversal of 2976291648 is 8461926792.

2976291648 is a `hidden beast` number, since 2 + 9 + 7 + 629 + 1 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2976291594 and 2976291603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976291649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586723 + ... + 591773.

Almost surely, 2^2976291648 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 2976291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927518720).

2976291648 is an abundant number, since it is smaller than the sum of its proper divisors (6878745792).

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

2976291648 is a wasteful number, since it uses less digits than its factorization.

2976291648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114 (or 5098 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2976291648 is about 54555.3998060687. The cubic root of 2976291648 is about 1438.4402556082.

The spelling of 2976291648 in words is "two billion, nine hundred seventy-six million, two hundred ninety-one thousand, six hundred forty-eight".