2242157998080 has 832 divisors, whose sum is σ = 9632527930368. Its totient is φ = 430052474880.

The previous prime is 2242157998063. The next prime is 2242157998127. The reversal of 2242157998080 is 808997512422.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×2242157998080² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2242157998080.

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 63 ways as a sum of consecutive naturals, for example, 61483212 + ... + 61519668.

Almost surely, 2^{2242157998080} is an apocalyptic number.

2242157998080 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 2242157998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816263965184).

2242157998080 is an abundant number, since it is smaller than the sum of its proper divisors (7390369932288).

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

2242157998080 is a wasteful number, since it uses less digits than its factorization.

2242157998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36520 (or 36498 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 2242157998080 in words is "two trillion, two hundred forty-two billion, one hundred fifty-seven million, nine hundred ninety-eight thousand, eighty".