2083402968192 has 1024 divisors, whose sum is σ = 8043336806400. Its totient is φ = 515197698048.

The previous prime is 2083402968091. The next prime is 2083402968193. The reversal of 2083402968192 is 2918692043802.

2083402968192 is a `hidden beast` number, since 2 + 0 + 8 + 340 + 296 + 8 + 1 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2083402968193) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1855211343 + ... + 1855212465.

It is an arithmetic number, because the mean of its divisors is an integer number (7854821100).

Almost surely, 2^{2083402968192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083402968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021668403200).

2083402968192 is an abundant number, since it is smaller than the sum of its proper divisors (5959933838208).

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

2083402968192 is a wasteful number, since it uses less digits than its factorization.

2083402968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2083402968192 in words is "two trillion, eighty-three billion, four hundred two million, nine hundred sixty-eight thousand, one hundred ninety-two".