2083960451664 has 320 divisors, whose sum is σ = 7512394176000. Its totient is φ = 549615435264.

The previous prime is 2083960451663. The next prime is 2083960451689. The reversal of 2083960451664 is 4661540693802.

2083960451664 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 9 + 60 + 4 + 516 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2083960451664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083960451663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1385362 + ... + 2467214.

It is an arithmetic number, because the mean of its divisors is an integer number (23476231800).

Almost surely, 2^{2083960451664} is an apocalyptic number.

2083960451664 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 2083960451664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756197088000).

2083960451664 is an abundant number, since it is smaller than the sum of its proper divisors (5428433724336).

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

2083960451664 is a wasteful number, since it uses less digits than its factorization.

2083960451664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081904 (or 1081878 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

It can be divided in two parts, 20839 and 60451664, that added together give a triangular number (60472503 = T₁₀₉₉₇).

The spelling of 2083960451664 in words is "two trillion, eighty-three billion, nine hundred sixty million, four hundred fifty-one thousand, six hundred sixty-four".