2830800960 has 560 divisors, whose sum is σ = 11235366912. Its totient is φ = 671846400.

The previous prime is 2830800949. The next prime is 2830800961. The reversal of 2830800960 is 690080382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2830800961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10445625 + ... + 10445895.

Almost surely, 2^2830800960 is an apocalyptic number.

2830800960 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 2830800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617683456).

2830800960 is an abundant number, since it is smaller than the sum of its proper divisors (8404565952).

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

2830800960 is a wasteful number, since it uses less digits than its factorization.

2830800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2830800960 is about 53205.2719192375. The cubic root of 2830800960 is about 1414.6090909499.

The spelling of 2830800960 in words is "two billion, eight hundred thirty million, eight hundred thousand, nine hundred sixty".