2535104245280 has 96 divisors (see below), whose sum is σ = 6049857159360. Its totient is φ = 1003783705600.

The previous prime is 2535104245279. The next prime is 2535104245327. The reversal of 2535104245280 is 825424015352.

It is a happy number.

It is a super-3 number, since 3×2535104245280³ (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 15 ways as a sum of consecutive naturals, for example, 22216211 + ... + 22330029.

It is an arithmetic number, because the mean of its divisors is an integer number (63019345410).

Almost surely, 2^{2535104245280} is an apocalyptic number.

2535104245280 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 2535104245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024928579680).

2535104245280 is an abundant number, since it is smaller than the sum of its proper divisors (3514752914080).

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

2535104245280 is a wasteful number, since it uses less digits than its factorization.

2535104245280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115242 (or 115234 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 41.

The spelling of 2535104245280 in words is "two trillion, five hundred thirty-five billion, one hundred four million, two hundred forty-five thousand, two hundred eighty".