2831993200 has 120 divisors (see below), whose sum is σ = 6936774768. Its totient is φ = 1110896640.

The previous prime is 2831993191. The next prime is 2831993273. The reversal of 2831993200 is 23991382.

It is a self number, because there is not a number n which added to its sum of digits gives 2831993200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6540184 + ... + 6540616.

Almost surely, 2^2831993200 is an apocalyptic number.

2831993200 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 2831993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468387384).

2831993200 is an abundant number, since it is smaller than the sum of its proper divisors (4104781568).

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

2831993200 is a wasteful number, since it uses less digits than its factorization.

2831993200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 2831993200 is about 53216.4748926496. The cubic root of 2831993200 is about 1414.8076586402.

The spelling of 2831993200 in words is "two billion, eight hundred thirty-one million, nine hundred ninety-three thousand, two hundred".