2096261504568 has 1024 divisors, whose sum is σ = 7840512000000. Its totient is φ = 513010713600.

The previous prime is 2096261504551. The next prime is 2096261504591. The reversal of 2096261504568 is 8654051626902.

2096261504568 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 26 + 1 + 50 + 4 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5125333548 + ... + 5125333956.

It is an arithmetic number, because the mean of its divisors is an integer number (7656750000).

Almost surely, 2^{2096261504568} is an apocalyptic number.

2096261504568 is a gapful number since it is divisible by the number (28) 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 2096261504568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920256000000).

2096261504568 is an abundant number, since it is smaller than the sum of its proper divisors (5744250495432).

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

2096261504568 is a wasteful number, since it uses less digits than its factorization.

2096261504568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2096261504568 in words is "two trillion, ninety-six billion, two hundred sixty-one million, five hundred four thousand, five hundred sixty-eight".