2535274472640 has 1344 divisors, whose sum is σ = 10714201827840. Its totient is φ = 502016901120.

The previous prime is 2535274472611. The next prime is 2535274472669. The reversal of 2535274472640 is 462744725352.

It is an interprime number because it is at equal distance from previous prime (2535274472611) and next prime (2535274472669).

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1312932475 + ... + 1312934405.

It is an arithmetic number, because the mean of its divisors is an integer number (7971876360).

Almost surely, 2^{2535274472640} is an apocalyptic number.

2535274472640 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 2535274472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357100913920).

2535274472640 is an abundant number, since it is smaller than the sum of its proper divisors (8178927355200).

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

2535274472640 is a wasteful number, since it uses less digits than its factorization.

2535274472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 51.

The spelling of 2535274472640 in words is "two trillion, five hundred thirty-five billion, two hundred seventy-four million, four hundred seventy-two thousand, six hundred forty".