2831142456 has 192 divisors, whose sum is σ = 8302694400. Its totient is φ = 902793600.

The previous prime is 2831142449. The next prime is 2831142467. The reversal of 2831142456 is 6542411382.

It is a happy number.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 2831142456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6568561 + ... + 6568991.

It is an arithmetic number, because the mean of its divisors is an integer number (43243200).

Almost surely, 2^2831142456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831142456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151347200).

2831142456 is an abundant number, since it is smaller than the sum of its proper divisors (5471551944).

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

2831142456 is a wasteful number, since it uses less digits than its factorization.

2831142456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2831142456 is about 53208.4810533058. The cubic root of 2831142456 is about 1414.6659728394.

The spelling of 2831142456 in words is "two billion, eight hundred thirty-one million, one hundred forty-two thousand, four hundred fifty-six".