2093426995968 has 1080 divisors, whose sum is σ = 8065294997760. Its totient is φ = 524660613120.

The previous prime is 2093426995951. The next prime is 2093426995987. The reversal of 2093426995968 is 8695996243902.

2093426995968 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 4 + 26 + 9 + 9 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2093426995896 and 2093426995905.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1342800373 + ... + 1342801931.

Almost surely, 2^{2093426995968} is an apocalyptic number.

2093426995968 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 2093426995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032647498880).

2093426995968 is an abundant number, since it is smaller than the sum of its proper divisors (5971868001792).

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

2093426995968 is a wasteful number, since it uses less digits than its factorization.

2093426995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 2093426995968 in words is "two trillion, ninety-three billion, four hundred twenty-six million, nine hundred ninety-five thousand, nine hundred sixty-eight".