2122235182080 has 1408 divisors, whose sum is σ = 8606753971200. Its totient is φ = 492132630528.

The previous prime is 2122235182061. The next prime is 2122235182097. The reversal of 2122235182080 is 802815322212.

2122235182080 is a `hidden beast` number, since 2 + 1 + 22 + 23 + 518 + 20 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2241008167 + ... + 2241009113.

It is an arithmetic number, because the mean of its divisors is an integer number (6112751400).

Almost surely, 2^{2122235182080} is an apocalyptic number.

2122235182080 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 2122235182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303376985600).

2122235182080 is an abundant number, since it is smaller than the sum of its proper divisors (6484518789120).

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

2122235182080 is a wasteful number, since it uses less digits than its factorization.

2122235182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2122235182080 in words is "two trillion, one hundred twenty-two billion, two hundred thirty-five million, one hundred eighty-two thousand, eighty".