2831713920 has 576 divisors, whose sum is σ = 11609395200. Its totient is φ = 634023936.

The previous prime is 2831713897. The next prime is 2831713991. The reversal of 2831713920 is 293171382.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22296897 + ... + 22297023.

It is an arithmetic number, because the mean of its divisors is an integer number (20155200).

Almost surely, 2^2831713920 is an apocalyptic number.

2831713920 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 2831713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804697600).

2831713920 is an abundant number, since it is smaller than the sum of its proper divisors (8777681280).

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

2831713920 is a wasteful number, since it uses less digits than its factorization.

2831713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2831713920 is about 53213.8508285202. The cubic root of 2831713920 is about 1414.7611495275.

The spelling of 2831713920 in words is "two billion, eight hundred thirty-one million, seven hundred thirteen thousand, nine hundred twenty".