2835480510688 has 192 divisors, whose sum is σ = 6936674734080. Its totient is φ = 1113398784000.

The previous prime is 2835480510673. The next prime is 2835480510697. The reversal of 2835480510688 is 8860150845382.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 237610770 + ... + 237622702.

It is an arithmetic number, because the mean of its divisors is an integer number (36128514240).

Almost surely, 2^{2835480510688} is an apocalyptic number.

2835480510688 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 2835480510688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468337367040).

2835480510688 is an abundant number, since it is smaller than the sum of its proper divisors (4101194223392).

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

2835480510688 is a wasteful number, since it uses less digits than its factorization.

2835480510688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13801 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 58.

The spelling of 2835480510688 in words is "two trillion, eight hundred thirty-five billion, four hundred eighty million, five hundred ten thousand, six hundred eighty-eight".