254040242223000 has 256 divisors, whose sum is σ = 801722285844480. Its totient is φ = 66966984000000.

The previous prime is 254040242222969. The next prime is 254040242223007. The reversal of 254040242223000 is 322242040452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254040242223007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190528645 + ... + 191857355.

It is an arithmetic number, because the mean of its divisors is an integer number (3131727679080).

Almost surely, 2^{254040242223000} is an apocalyptic number.

254040242223000 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 254040242223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400861142922240).

254040242223000 is an abundant number, since it is smaller than the sum of its proper divisors (547682043621480).

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

254040242223000 is a wasteful number, since it uses less digits than its factorization.

254040242223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329467 (or 1329453 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 254040242223000 its reverse (322242040452), we get a palindrome (254362484263452).

The spelling of 254040242223000 in words is "two hundred fifty-four trillion, forty billion, two hundred forty-two million, two hundred twenty-three thousand".