2102116484160 has 1344 divisors, whose sum is σ = 9577530353664. Its totient is φ = 426099916800.

The previous prime is 2102116484123. The next prime is 2102116484173. The reversal of 2102116484160 is 614846112012.

2102116484160 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 1 + 1 + 648 + 4 + 1 + 6 + 0 = 666.

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

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

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, 245484039 + ... + 245492601.

It is an arithmetic number, because the mean of its divisors is an integer number (7126138656).

Almost surely, 2^{2102116484160} is an apocalyptic number.

2102116484160 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 2102116484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788765176832).

2102116484160 is an abundant number, since it is smaller than the sum of its proper divisors (7475413869504).

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

2102116484160 is a wasteful number, since it uses less digits than its factorization.

2102116484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2102116484160 in words is "two trillion, one hundred two billion, one hundred sixteen million, four hundred eighty-four thousand, one hundred sixty".