254340221200 has 60 divisors (see below), whose sum is σ = 658056424228. Its totient is φ = 93910233600.

The previous prime is 254340221183. The next prime is 254340221207. The reversal of 254340221200 is 2122043452.

It can be written as a sum of positive squares in 6 ways, for example, as 58523351056 + 195816870144 = 241916^2 + 442512^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (254340221207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24450591 + ... + 24460990.

Almost surely, 2^254340221200 is an apocalyptic number.

254340221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254340221200 is an abundant number, since it is smaller than the sum of its proper divisors (403716203028).

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

254340221200 is a wasteful number, since it uses less digits than its factorization.

254340221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48911612 (or 48911601 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 254340221200 its reverse (2122043452), we get a palindrome (256462264652).

The spelling of 254340221200 in words is "two hundred fifty-four billion, three hundred forty million, two hundred twenty-one thousand, two hundred".