2435085688 has 64 divisors (see below), whose sum is σ = 5431680000. Its totient is φ = 1001331072.

The previous prime is 2435085643. The next prime is 2435085707. The reversal of 2435085688 is 8865805342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260113 + ... + 269311.

It is an arithmetic number, because the mean of its divisors is an integer number (84870000).

Almost surely, 2^2435085688 is an apocalyptic number.

2435085688 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 2435085688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715840000).

2435085688 is an abundant number, since it is smaller than the sum of its proper divisors (2996594312).

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

2435085688 is a wasteful number, since it uses less digits than its factorization.

2435085688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

The square root of 2435085688 is about 49346.5873997382. The cubic root of 2435085688 is about 1345.3586727412.

The spelling of 2435085688 in words is "two billion, four hundred thirty-five million, eighty-five thousand, six hundred eighty-eight".