2052120616560 has 320 divisors, whose sum is σ = 8503358131200. Its totient is φ = 444368913408.

The previous prime is 2052120616499. The next prime is 2052120616591. The reversal of 2052120616560 is 656160212502.

2052120616560 is a `hidden beast` number, since 2 + 0 + 521 + 20 + 61 + 6 + 56 + 0 = 666.

It is a super-2 number, since 2×2052120616560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3284359 + ... + 3858918.

It is an arithmetic number, because the mean of its divisors is an integer number (26572994160).

Almost surely, 2^{2052120616560} is an apocalyptic number.

2052120616560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2052120616560 is an abundant number, since it is smaller than the sum of its proper divisors (6451237514640).

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

2052120616560 is a wasteful number, since it uses less digits than its factorization.

2052120616560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143325 (or 7143313 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2052120616560 in words is "two trillion, fifty-two billion, one hundred twenty million, six hundred sixteen thousand, five hundred sixty".