254362253220 has 144 divisors (see below), whose sum is σ = 799639364160. Its totient is φ = 65370509568.

The previous prime is 254362253213. The next prime is 254362253239. The reversal of 254362253220 is 22352263452.

254362253220 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 622 + 5 + 3 + 2 + 20 = 666.

It is a super-4 number, since 4×254362253220⁴ (a number of 47 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2810799 + ... + 2899881.

It is an arithmetic number, because the mean of its divisors is an integer number (5553051140).

Almost surely, 2^254362253220 is an apocalyptic number.

254362253220 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 254362253220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399819682080).

254362253220 is an abundant number, since it is smaller than the sum of its proper divisors (545277110940).

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

254362253220 is a wasteful number, since it uses less digits than its factorization.

254362253220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89674 (or 89669 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 254362253220 in words is "two hundred fifty-four billion, three hundred sixty-two million, two hundred fifty-three thousand, two hundred twenty".