254540242400 has 72 divisors (see below), whose sum is σ = 622201754664. Its totient is φ = 101684134400.

The previous prime is 254540242387. The next prime is 254540242459. The reversal of 254540242400 is 4242045452.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412595 + ... + 824205.

It is an arithmetic number, because the mean of its divisors is an integer number (8641691037).

Almost surely, 2^254540242400 is an apocalyptic number.

254540242400 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 254540242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311100877332).

254540242400 is an abundant number, since it is smaller than the sum of its proper divisors (367661512264).

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

254540242400 is a wasteful number, since it uses less digits than its factorization.

254540242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412404 (or 412391 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

Adding to 254540242400 its reverse (4242045452), we get a palindrome (258782287852).

The spelling of 254540242400 in words is "two hundred fifty-four billion, five hundred forty million, two hundred forty-two thousand, four hundred".