2831131842 has 64 divisors (see below), whose sum is σ = 7073547264. Its totient is φ = 733890240.

The previous prime is 2831131837. The next prime is 2831131843. The reversal of 2831131842 is 2481311382.

2831131842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2831131843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235768 + ... + 247484.

It is an arithmetic number, because the mean of its divisors is an integer number (110524176).

Almost surely, 2^2831131842 is an apocalyptic number.

2831131842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831131842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536773632).

2831131842 is an abundant number, since it is smaller than the sum of its proper divisors (4242415422).

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

2831131842 is a wasteful number, since it uses less digits than its factorization.

2831131842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12263.

The product of its digits is 9216, while the sum is 33.

The square root of 2831131842 is about 53208.3813134735. The cubic root of 2831131842 is about 1414.6642049685.

The spelling of 2831131842 in words is "two billion, eight hundred thirty-one million, one hundred thirty-one thousand, eight hundred forty-two".