2083135661568 has 240 divisors, whose sum is σ = 6697803031920. Its totient is φ = 618862067712.

The previous prime is 2083135661557. The next prime is 2083135661609. The reversal of 2083135661568 is 8651665313802.

It is a happy number.

2083135661568 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 1 + 3 + 566 + 15 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137655 + ... + 2336777.

It is an arithmetic number, because the mean of its divisors is an integer number (27907512633).

Almost surely, 2^{2083135661568} 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 2083135661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348901515960).

2083135661568 is an abundant number, since it is smaller than the sum of its proper divisors (4614667370352).

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

2083135661568 is a wasteful number, since it uses less digits than its factorization.

2083135661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199189 (or 1199170 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2083135661568 in words is "two trillion, eighty-three billion, one hundred thirty-five million, six hundred sixty-one thousand, five hundred sixty-eight".