2102048444160 has 3456 divisors, whose sum is σ = 9963862272000. Its totient is φ = 421382062080.

The previous prime is 2102048444159. The next prime is 2102048444227. The reversal of 2102048444160 is 614448402012.

2102048444160 is a `hidden beast` number, since 2 + 1 + 0 + 204 + 8 + 4 + 441 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 34459810530 + ... + 34459810590.

It is an arithmetic number, because the mean of its divisors is an integer number (2883062000).

Almost surely, 2^{2102048444160} is an apocalyptic number.

2102048444160 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 2102048444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981931136000).

2102048444160 is an abundant number, since it is smaller than the sum of its proper divisors (7861813827840).

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

2102048444160 is an equidigital number, since it uses as much as digits as its factorization.

2102048444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2102048444160 in words is "two trillion, one hundred two billion, forty-eight million, four hundred forty-four thousand, one hundred sixty".