2302102111680 has 1344 divisors, whose sum is σ = 9669523968000. Its totient is φ = 491373527040.

The previous prime is 2302102111649. The next prime is 2302102111693. The reversal of 2302102111680 is 861112012032.

2302102111680 is a `hidden beast` number, since 230 + 210 + 211 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5628611316 + ... + 5628611724.

Almost surely, 2^{2302102111680} is an apocalyptic number.

2302102111680 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 2302102111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834761984000).

2302102111680 is an abundant number, since it is smaller than the sum of its proper divisors (7367421856320).

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

2302102111680 is a wasteful number, since it uses less digits than its factorization.

2302102111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 2302102111680 in words is "two trillion, three hundred two billion, one hundred two million, one hundred eleven thousand, six hundred eighty".