2968157808 has 480 divisors, whose sum is σ = 11108098560. Its totient is φ = 716636160.

The previous prime is 2968157807. The next prime is 2968157809. The reversal of 2968157808 is 8087518692.

2968157808 is a `hidden beast` number, since 2 + 9 + 68 + 1 + 578 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2968157807) and next prime (2968157809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968157807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15378960 + ... + 15379152.

It is an arithmetic number, because the mean of its divisors is an integer number (23141872).

Almost surely, 2^2968157808 is an apocalyptic number.

2968157808 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 2968157808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554049280).

2968157808 is an abundant number, since it is smaller than the sum of its proper divisors (8139940752).

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

2968157808 is a wasteful number, since it uses less digits than its factorization.

2968157808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 2968157808 is about 54480.8021967372. The cubic root of 2968157808 is about 1437.1286998484.

The spelling of 2968157808 in words is "two billion, nine hundred sixty-eight million, one hundred fifty-seven thousand, eight hundred eight".