2535372498240 has 672 divisors, whose sum is σ = 9992037968640. Its totient is φ = 608655015936.

The previous prime is 2535372498209. The next prime is 2535372498331. The reversal of 2535372498240 is 428942735352.

2535372498240 is a `hidden beast` number, since 2 + 5 + 3 + 537 + 24 + 9 + 82 + 4 + 0 = 666.

It is a super-2 number, since 2×2535372498240² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30362466 + ... + 30445854.

It is an arithmetic number, because the mean of its divisors is an integer number (14869104120).

Almost surely, 2^{2535372498240} is an apocalyptic number.

2535372498240 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 2535372498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996018984320).

2535372498240 is an abundant number, since it is smaller than the sum of its proper divisors (7456665470400).

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

2535372498240 is a wasteful number, since it uses less digits than its factorization.

2535372498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83461 (or 83439 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2535372498240 in words is "two trillion, five hundred thirty-five billion, three hundred seventy-two million, four hundred ninety-eight thousand, two hundred forty".