2083851620064 has 384 divisors, whose sum is σ = 6759293184000. Its totient is φ = 621841618944.

The previous prime is 2083851620033. The next prime is 2083851620099. The reversal of 2083851620064 is 4600261583802.

2083851620064 is a `hidden beast` number, since 2 + 0 + 8 + 385 + 1 + 6 + 200 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22328442 + ... + 22421574.

It is an arithmetic number, because the mean of its divisors is an integer number (17602326000).

Almost surely, 2^{2083851620064} is an apocalyptic number.

2083851620064 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 2083851620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379646592000).

2083851620064 is an abundant number, since it is smaller than the sum of its proper divisors (4675441563936).

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

2083851620064 is a wasteful number, since it uses less digits than its factorization.

2083851620064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93247 (or 93233 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2083851620064 in words is "two trillion, eighty-three billion, eight hundred fifty-one million, six hundred twenty thousand, sixty-four".