2830920960 has 576 divisors, whose sum is σ = 11396689920. Its totient is φ = 583925760.

The previous prime is 2830920901. The next prime is 2830920977. The reversal of 2830920960 is 690290382.

It is a super-2 number, since 2×2830920960² = 16028226963534643200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11746440 + ... + 11746680.

It is an arithmetic number, because the mean of its divisors is an integer number (19785920).

Almost surely, 2^2830920960 is an apocalyptic number.

2830920960 is a gapful number since it is divisible by the number (20) 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 2830920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698344960).

2830920960 is an abundant number, since it is smaller than the sum of its proper divisors (8565768960).

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

2830920960 is a wasteful number, since it uses less digits than its factorization.

2830920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2830920960 is about 53206.3996150839. The cubic root of 2830920960 is about 1414.6290794850.

The spelling of 2830920960 in words is "two billion, eight hundred thirty million, nine hundred twenty thousand, nine hundred sixty".