2830881600 has 252 divisors, whose sum is σ = 10203239436. Its totient is φ = 744284160.

The previous prime is 2830881587. The next prime is 2830881617. The reversal of 2830881600 is 61880382.

It can be written as a sum of positive squares in 6 ways, for example, as 65804544 + 2765077056 = 8112^2 + 52584^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049854 + ... + 1052546.

Almost surely, 2^2830881600 is an apocalyptic number.

2830881600 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 2830881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101619718).

2830881600 is an abundant number, since it is smaller than the sum of its proper divisors (7372357836).

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

2830881600 is a wasteful number, since it uses less digits than its factorization.

2830881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2830881600 is about 53206.0297334804. The cubic root of 2830881600 is about 1414.6225233077.

The spelling of 2830881600 in words is "two billion, eight hundred thirty million, eight hundred eighty-one thousand, six hundred".