254897274240 has 768 divisors, whose sum is σ = 1050432589440. Its totient is φ = 55738368000.

The previous prime is 254897274223. The next prime is 254897274257. The reversal of 254897274240 is 42472798452.

254897274240 is a `hidden beast` number, since 2 + 5 + 48 + 97 + 274 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (254897274223) and next prime (254897274257).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91000840 + ... + 91003640.

Almost surely, 2^254897274240 is an apocalyptic number.

254897274240 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 254897274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525216294720).

254897274240 is an abundant number, since it is smaller than the sum of its proper divisors (795535315200).

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

254897274240 is a wasteful number, since it uses less digits than its factorization.

254897274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 254897274240 in words is "two hundred fifty-four billion, eight hundred ninety-seven million, two hundred seventy-four thousand, two hundred forty".