2222138212560 has 480 divisors, whose sum is σ = 8973831352320. Its totient is φ = 503914908672.

The previous prime is 2222138212559. The next prime is 2222138212577. The reversal of 2222138212560 is 652128312222.

2222138212560 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 3 + 82 + 12 + 560 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13359022 + ... + 13524338.

It is an arithmetic number, because the mean of its divisors is an integer number (18695481984).

Almost surely, 2^{2222138212560} is an apocalyptic number.

2222138212560 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 2222138212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486915676160).

2222138212560 is an abundant number, since it is smaller than the sum of its proper divisors (6751693139760).

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

2222138212560 is a wasteful number, since it uses less digits than its factorization.

2222138212560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165480 (or 165461 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2222138212560 in words is "two trillion, two hundred twenty-two billion, one hundred thirty-eight million, two hundred twelve thousand, five hundred sixty".