2084060568960 has 512 divisors, whose sum is σ = 7607984486400. Its totient is φ = 538920345600.

The previous prime is 2084060568911. The next prime is 2084060568983. The reversal of 2084060568960 is 698650604802.

It is a happy number.

2084060568960 is a `hidden beast` number, since 20 + 8 + 4 + 0 + 605 + 6 + 8 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2084060568897 and 2084060568906.

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, 74825757 + ... + 74853603.

It is an arithmetic number, because the mean of its divisors is an integer number (14859344700).

Almost surely, 2^{2084060568960} is an apocalyptic number.

2084060568960 is a gapful number since it is divisible by the number (20) 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 2084060568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803992243200).

2084060568960 is an abundant number, since it is smaller than the sum of its proper divisors (5523923917440).

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

2084060568960 is a wasteful number, since it uses less digits than its factorization.

2084060568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28007 (or 27989 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2084060568960 in words is "two trillion, eighty-four billion, sixty million, five hundred sixty-eight thousand, nine hundred sixty".