2978516268 has 144 divisors (see below), whose sum is σ = 9340764160. Its totient is φ = 779248512.

The previous prime is 2978516257. The next prime is 2978516273. The reversal of 2978516268 is 8626158792.

2978516268 is a `hidden beast` number, since 2 + 9 + 7 + 8 + 5 + 1 + 626 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412473 + ... + 419631.

Almost surely, 2^2978516268 is an apocalyptic number.

2978516268 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 2978516268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670382080).

2978516268 is an abundant number, since it is smaller than the sum of its proper divisors (6362247892).

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

2978516268 is a wasteful number, since it uses less digits than its factorization.

2978516268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7311 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 2978516268 is about 54575.7846301819. The cubic root of 2978516268 is about 1438.7985522626.

The spelling of 2978516268 in words is "two billion, nine hundred seventy-eight million, five hundred sixteen thousand, two hundred sixty-eight".