2820631968 has 432 divisors, whose sum is σ = 10429106688. Its totient is φ = 707097600.

The previous prime is 2820631943. The next prime is 2820631969. The reversal of 2820631968 is 8691360282.

2820631968 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 631 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2820631969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7561830 + ... + 7562202.

Almost surely, 2^2820631968 is an apocalyptic number.

2820631968 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 2820631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214553344).

2820631968 is an abundant number, since it is smaller than the sum of its proper divisors (7608474720).

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

2820631968 is a wasteful number, since it uses less digits than its factorization.

2820631968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2820631968 is about 53109.6221790364. The cubic root of 2820631968 is about 1412.9131742244.

The spelling of 2820631968 in words is "two billion, eight hundred twenty million, six hundred thirty-one thousand, nine hundred sixty-eight".