2096813496960 has 768 divisors, whose sum is σ = 8926028616960. Its totient is φ = 441681444864.

The previous prime is 2096813496937. The next prime is 2096813496997. The reversal of 2096813496960 is 696943186902.

2096813496960 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 81 + 3 + 496 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 357998352 + ... + 358004208.

It is an arithmetic number, because the mean of its divisors is an integer number (11622433095).

Almost surely, 2^{2096813496960} is an apocalyptic number.

2096813496960 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 2096813496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463014308480).

2096813496960 is an abundant number, since it is smaller than the sum of its proper divisors (6829215120000).

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

2096813496960 is a wasteful number, since it uses less digits than its factorization.

2096813496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 2096813496960 in words is "two trillion, ninety-six billion, eight hundred thirteen million, four hundred ninety-six thousand, nine hundred sixty".