2831134322688 has 208 divisors, whose sum is σ = 8924661972480. Its totient is φ = 781001883648.

The previous prime is 2831134322629. The next prime is 2831134322689. The reversal of 2831134322688 is 8862234311382.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2831134322688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831134322689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926981 + ... + 3061947.

Almost surely, 2^{2831134322688} is an apocalyptic number.

2831134322688 is a gapful number since it is divisible by the number (28) 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 2831134322688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462330986240).

2831134322688 is an abundant number, since it is smaller than the sum of its proper divisors (6093527649792).

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

2831134322688 is a wasteful number, since it uses less digits than its factorization.

2831134322688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135030 (or 1135008 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 2831134322688 in words is "two trillion, eight hundred thirty-one billion, one hundred thirty-four million, three hundred twenty-two thousand, six hundred eighty-eight".