2536880822784 has 1920 divisors, whose sum is σ = 10108384450560. Its totient is φ = 619934515200.

The previous prime is 2536880822783. The next prime is 2536880822797. The reversal of 2536880822784 is 4872280886352.

2536880822784 is a `hidden beast` number, since 2 + 536 + 8 + 8 + 0 + 8 + 22 + 78 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2536880822783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19365502399 + ... + 19365502529.

It is an arithmetic number, because the mean of its divisors is an integer number (5264783568).

Almost surely, 2^{2536880822784} is an apocalyptic number.

2536880822784 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 2536880822784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054192225280).

2536880822784 is an abundant number, since it is smaller than the sum of its proper divisors (7571503627776).

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

2536880822784 is a wasteful number, since it uses less digits than its factorization.

2536880822784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 2536880822784 in words is "two trillion, five hundred thirty-six billion, eight hundred eighty million, eight hundred twenty-two thousand, seven hundred eighty-four".