2536225305120 has 1920 divisors, whose sum is σ = 10645944680448. Its totient is φ = 563305881600.

The previous prime is 2536225305109. The next prime is 2536225305157. The reversal of 2536225305120 is 215035226352.

2536225305120 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 225 + 305 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5165428075 + ... + 5165428565.

Almost surely, 2^{2536225305120} is an apocalyptic number.

2536225305120 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 2536225305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322972340224).

2536225305120 is an abundant number, since it is smaller than the sum of its proper divisors (8109719375328).

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

2536225305120 is a wasteful number, since it uses less digits than its factorization.

2536225305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2536225305120 in words is "two trillion, five hundred thirty-six billion, two hundred twenty-five million, three hundred five thousand, one hundred twenty".