2114261866080 has 3072 divisors, whose sum is σ = 10352472883200. Its totient is φ = 390208389120.

The previous prime is 2114261866063. The next prime is 2114261866091. The reversal of 2114261866080 is 806681624112.

It is a happy number.

2114261866080 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 26 + 18 + 6 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5325596442 + ... + 5325596838.

It is an arithmetic number, because the mean of its divisors is an integer number (3369945600).

Almost surely, 2^{2114261866080} is an apocalyptic number.

2114261866080 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 2114261866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176236441600).

2114261866080 is an abundant number, since it is smaller than the sum of its proper divisors (8238211017120).

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

2114261866080 is a wasteful number, since it uses less digits than its factorization.

2114261866080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2114261866080 in words is "two trillion, one hundred fourteen billion, two hundred sixty-one million, eight hundred sixty-six thousand, eighty".