254342938913280 has 6720 divisors, whose sum is σ = 1211454408384000. Its totient is φ = 50710321299456.

The previous prime is 254342938913249. The next prime is 254342938913281. The reversal of 254342938913280 is 82319839243452.

254342938913280 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 42 + 9 + 389 + 132 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (254342938913281) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 2333421457866 + ... + 2333421457974.

Almost surely, 2^{254342938913280} is an apocalyptic number.

254342938913280 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 254342938913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605727204192000).

254342938913280 is an abundant number, since it is smaller than the sum of its proper divisors (957111469470720).

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

254342938913280 is a wasteful number, since it uses less digits than its factorization.

254342938913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 254342938913280 in words is "two hundred fifty-four trillion, three hundred forty-two billion, nine hundred thirty-eight million, nine hundred thirteen thousand, two hundred eighty".