2229835449120 has 192 divisors, whose sum is σ = 7434975744000. Its totient is φ = 560179362816.

The previous prime is 2229835449097. The next prime is 2229835449143. The reversal of 2229835449120 is 219445389222.

It is an interprime number because it is at equal distance from previous prime (2229835449097) and next prime (2229835449143).

It is a super-2 number, since 2×2229835449120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949521 + ... + 2315439.

It is an arithmetic number, because the mean of its divisors is an integer number (38723832000).

Almost surely, 2^{2229835449120} is an apocalyptic number.

2229835449120 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 2229835449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717487872000).

2229835449120 is an abundant number, since it is smaller than the sum of its proper divisors (5205140294880).

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

2229835449120 is a wasteful number, since it uses less digits than its factorization.

2229835449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366135 (or 1366127 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 2229835449120 in words is "two trillion, two hundred twenty-nine billion, eight hundred thirty-five million, four hundred forty-nine thousand, one hundred twenty".