2254162821120 has 1224 divisors, whose sum is σ = 9580272989040. Its totient is φ = 487524925440.

The previous prime is 2254162821023. The next prime is 2254162821161. The reversal of 2254162821120 is 211282614522.

2254162821120 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 1 + 628 + 2 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2745630310 + ... + 2745631130.

Almost surely, 2^{2254162821120} is an apocalyptic number.

2254162821120 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 2254162821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790136494520).

2254162821120 is an abundant number, since it is smaller than the sum of its proper divisors (7326110167920).

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

2254162821120 is an equidigital number, since it uses as much as digits as its factorization.

2254162821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2254162821120 in words is "two trillion, two hundred fifty-four billion, one hundred sixty-two million, eight hundred twenty-one thousand, one hundred twenty".