2536381983744 has 440 divisors, whose sum is σ = 8665002748160. Its totient is φ = 723939876864.

The previous prime is 2536381983731. The next prime is 2536381983803. The reversal of 2536381983744 is 4473891836352.

It is a happy number.

2536381983744 is a `hidden beast` number, since 2 + 536 + 3 + 8 + 1 + 98 + 3 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×2536381983744² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 840138267 + ... + 840141285.

It is an arithmetic number, because the mean of its divisors is an integer number (19693188064).

Almost surely, 2^{2536381983744} is an apocalyptic number.

2536381983744 is a gapful number since it is divisible by the number (24) 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 2536381983744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332501374080).

2536381983744 is an abundant number, since it is smaller than the sum of its proper divisors (6128620764416).

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

2536381983744 is a wasteful number, since it uses less digits than its factorization.

2536381983744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4478 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 2536381983744 in words is "two trillion, five hundred thirty-six billion, three hundred eighty-one million, nine hundred eighty-three thousand, seven hundred forty-four".