2219842437120 has 2560 divisors, whose sum is σ = 10573259616000. Its totient is φ = 436988805120.

The previous prime is 2219842437119. The next prime is 2219842437149. The reversal of 2219842437120 is 217342489122.

2219842437120 is a `hidden beast` number, since 2 + 2 + 1 + 98 + 4 + 2 + 437 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×2219842437120² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116833812471 + ... + 116833812489.

Almost surely, 2^{2219842437120} is an apocalyptic number.

2219842437120 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 2219842437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286629808000).

2219842437120 is an abundant number, since it is smaller than the sum of its proper divisors (8353417178880).

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

2219842437120 is an frugal number, since it uses more digits than its factorization.

2219842437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2219842437120 in words is "two trillion, two hundred nineteen billion, eight hundred forty-two million, four hundred thirty-seven thousand, one hundred twenty".