2831426292096 has 512 divisors, whose sum is σ = 8787683520000. Its totient is φ = 896489717760.

The previous prime is 2831426292067. The next prime is 2831426292161. The reversal of 2831426292096 is 6902926241382.

2831426292096 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 4 + 2 + 629 + 2 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×2831426292096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2699166580 + ... + 2699167628.

It is an arithmetic number, because the mean of its divisors is an integer number (17163444375).

Almost surely, 2^{2831426292096} 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 2831426292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393841760000).

2831426292096 is an abundant number, since it is smaller than the sum of its proper divisors (5956257227904).

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

2831426292096 is a wasteful number, since it uses less digits than its factorization.

2831426292096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2831426292096 in words is "two trillion, eight hundred thirty-one billion, four hundred twenty-six million, two hundred ninety-two thousand, ninety-six".