2685434090920 has 128 divisors (see below), whose sum is σ = 6977263587840. Its totient is φ = 911151083520.

The previous prime is 2685434090879. The next prime is 2685434090947. The reversal of 2685434090920 is 290904345862.

It is a super-3 number, since 3×2685434090920³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42680604 + ... + 42743476.

It is an arithmetic number, because the mean of its divisors is an integer number (54509871780).

Almost surely, 2^{2685434090920} is an apocalyptic number.

2685434090920 is a gapful number since it is divisible by the number (20) 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 2685434090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488631793920).

2685434090920 is an abundant number, since it is smaller than the sum of its proper divisors (4291829496920).

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

2685434090920 is a wasteful number, since it uses less digits than its factorization.

2685434090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64475 (or 64471 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 2685434090920 in words is "two trillion, six hundred eighty-five billion, four hundred thirty-four million, ninety thousand, nine hundred twenty".