2536259322960 has 640 divisors, whose sum is σ = 10099957132800. Its totient is φ = 578157281280.

The previous prime is 2536259322959. The next prime is 2536259323043. The reversal of 2536259322960 is 692239526352.

2536259322960 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 259 + 322 + 9 + 60 = 666.

It is a super-2 number, since 2×2536259322960² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2536259322897 and 2536259322906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 601434772 + ... + 601438988.

It is an arithmetic number, because the mean of its divisors is an integer number (15781183020).

Almost surely, 2^{2536259322960} is an apocalyptic number.

2536259322960 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 2536259322960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049978566400).

2536259322960 is an abundant number, since it is smaller than the sum of its proper divisors (7563697809840).

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

2536259322960 is a wasteful number, since it uses less digits than its factorization.

2536259322960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 2536259322960 in words is "two trillion, five hundred thirty-six billion, two hundred fifty-nine million, three hundred twenty-two thousand, nine hundred sixty".