2831986560 has 256 divisors, whose sum is σ = 9845660160. Its totient is φ = 688201728.

The previous prime is 2831986559. The next prime is 2831986583. The reversal of 2831986560 is 656891382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070997 + ... + 2072363.

It is an arithmetic number, because the mean of its divisors is an integer number (38459610).

Almost surely, 2^2831986560 is an apocalyptic number.

2831986560 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 2831986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922830080).

2831986560 is an abundant number, since it is smaller than the sum of its proper divisors (7013673600).

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

2831986560 is a wasteful number, since it uses less digits than its factorization.

2831986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2831986560 is about 53216.4125059178. The cubic root of 2831986560 is about 1414.8065529019.

The spelling of 2831986560 in words is "two billion, eight hundred thirty-one million, nine hundred eighty-six thousand, five hundred sixty".