2920675968 has 240 divisors, whose sum is σ = 10112726250. Its totient is φ = 834333696.

The previous prime is 2920675957. The next prime is 2920675969. The reversal of 2920675968 is 8695760292.

2920675968 is a `hidden beast` number, since 29 + 20 + 6 + 7 + 596 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2908229184 + 12446784 = 53928^2 + 3528^2 .

It is a super-2 number, since 2×2920675968² = 17060696220105474048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2920675969) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 505158 + ... + 510906.

Almost surely, 2^2920675968 is an apocalyptic number.

2920675968 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 2920675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056363125).

2920675968 is an abundant number, since it is smaller than the sum of its proper divisors (7192050282).

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

2920675968 is an equidigital number, since it uses as much as digits as its factorization.

2920675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2920675968 is about 54043.2786570171. The cubic root of 2920675968 is about 1429.4241846846.

The spelling of 2920675968 in words is "two billion, nine hundred twenty million, six hundred seventy-five thousand, nine hundred sixty-eight".