2122364160 has 576 divisors, whose sum is σ = 8916418560. Its totient is φ = 467804160.

The previous prime is 2122364137. The next prime is 2122364213. The reversal of 2122364160 is 614632212.

2122364160 is a `hidden beast` number, since 2 + 12 + 2 + 3 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7499379 + ... + 7499661.

Almost surely, 2^2122364160 is an apocalyptic number.

2122364160 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 2122364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458209280).

2122364160 is an abundant number, since it is smaller than the sum of its proper divisors (6794054400).

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

2122364160 is a wasteful number, since it uses less digits than its factorization.

2122364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2122364160 is about 46069.1237164329. The cubic root of 2122364160 is about 1285.1090077954.

Adding to 2122364160 its reverse (614632212), we get a palindrome (2736996372).

The spelling of 2122364160 in words is "two billion, one hundred twenty-two million, three hundred sixty-four thousand, one hundred sixty".