2254721101920 has 1536 divisors, whose sum is σ = 9901921075200. Its totient is φ = 467658842112.

The previous prime is 2254721101873. The next prime is 2254721101931. The reversal of 2254721101920 is 291011274522.

It is a happy number.

2254721101920 is a `hidden beast` number, since 2 + 2 + 547 + 2 + 1 + 101 + 9 + 2 + 0 = 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1424333449 + ... + 1424335031.

It is an arithmetic number, because the mean of its divisors is an integer number (6446563200).

Almost surely, 2^{2254721101920} is an apocalyptic number.

2254721101920 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 2254721101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950960537600).

2254721101920 is an abundant number, since it is smaller than the sum of its proper divisors (7647199973280).

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

2254721101920 is a wasteful number, since it uses less digits than its factorization.

2254721101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 2254721101920 in words is "two trillion, two hundred fifty-four billion, seven hundred twenty-one million, one hundred one thousand, nine hundred twenty".