2010769092864 has 1296 divisors, whose sum is σ = 7557268118400. Its totient is φ = 510117543936.

The previous prime is 2010769092821. The next prime is 2010769092919. The reversal of 2010769092864 is 4682909670102.

2010769092864 is a `hidden beast` number, since 201 + 0 + 76 + 90 + 9 + 286 + 4 = 666.

It is a super-2 number, since 2×2010769092864² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2010769092864.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2614783872 + ... + 2614784640.

It is an arithmetic number, because the mean of its divisors is an integer number (5831225400).

Almost surely, 2^{2010769092864} is an apocalyptic number.

2010769092864 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 2010769092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778634059200).

2010769092864 is an abundant number, since it is smaller than the sum of its proper divisors (5546499025536).

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

2010769092864 is a wasteful number, since it uses less digits than its factorization.

2010769092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2010769092864 in words is "two trillion, ten billion, seven hundred sixty-nine million, ninety-two thousand, eight hundred sixty-four".