2535612226560 has 264 divisors, whose sum is σ = 10040950229856. Its totient is φ = 579568435200.

The previous prime is 2535612226517. The next prime is 2535612226561. The reversal of 2535612226560 is 656222165352.

2535612226560 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 61 + 2 + 2 + 26 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535612226561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3607891 + ... + 4253010.

Almost surely, 2^{2535612226560} is an apocalyptic number.

2535612226560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2535612226560 is an abundant number, since it is smaller than the sum of its proper divisors (7505338003296).

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

2535612226560 is a wasteful number, since it uses less digits than its factorization.

2535612226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860939 (or 7860918 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 2535612226560 in words is "two trillion, five hundred thirty-five billion, six hundred twelve million, two hundred twenty-six thousand, five hundred sixty".