2166981114480 has 320 divisors, whose sum is σ = 8278851452928. Its totient is φ = 456601743360.

The previous prime is 2166981114461. The next prime is 2166981114509. The reversal of 2166981114480 is 844111896612.

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, 16467345 + ... + 16598415.

Almost surely, 2^{2166981114480} is an apocalyptic number.

2166981114480 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 2166981114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139425726464).

2166981114480 is an abundant number, since it is smaller than the sum of its proper divisors (6111870338448).

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

2166981114480 is a wasteful number, since it uses less digits than its factorization.

2166981114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131864 (or 131858 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 2166981114480 in words is "two trillion, one hundred sixty-six billion, nine hundred eighty-one million, one hundred fourteen thousand, four hundred eighty".