2102066251560 has 288 divisors, whose sum is σ = 7751479357440. Its totient is φ = 493153056000.

The previous prime is 2102066251559. The next prime is 2102066251567. The reversal of 2102066251560 is 651526602012.

2102066251560 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 6 + 62 + 515 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2102066251567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572025 + ... + 2128695.

It is an arithmetic number, because the mean of its divisors is an integer number (26914858880).

Almost surely, 2^{2102066251560} is an apocalyptic number.

2102066251560 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 2102066251560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875739678720).

2102066251560 is an abundant number, since it is smaller than the sum of its proper divisors (5649413105880).

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

2102066251560 is a wasteful number, since it uses less digits than its factorization.

2102066251560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556741 (or 1556723 counting only the distinct ones).

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

The spelling of 2102066251560 in words is "two trillion, one hundred two billion, sixty-six million, two hundred fifty-one thousand, five hundred sixty".