2585331081102 has 96 divisors (see below), whose sum is σ = 6572060630784. Its totient is φ = 670449830400.

The previous prime is 2585331081097. The next prime is 2585331081103. The reversal of 2585331081102 is 2011801335852.

It is a super-2 number, since 2×2585331081102² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585331081103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407198 + ... + 2674110.

It is an arithmetic number, because the mean of its divisors is an integer number (68458964904).

Almost surely, 2^{2585331081102} is an apocalyptic number.

2585331081102 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 2585331081102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286030315392).

2585331081102 is an abundant number, since it is smaller than the sum of its proper divisors (3986729549682).

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

2585331081102 is a wasteful number, since it uses less digits than its factorization.

2585331081102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267574 (or 1267567 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 2585331081102 in words is "two trillion, five hundred eighty-five billion, three hundred thirty-one million, eighty-one thousand, one hundred two".