254055535140240 has 120 divisors (see below), whose sum is σ = 856115129109240. Its totient is φ = 67516920317952.

The previous prime is 254055535140233. The next prime is 254055535140389. The reversal of 254055535140240 is 42041535550452.

254055535140240 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 5 + 55 + 351 + 4 + 0 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44135773362576 + 209919761777664 = 6643476^2 + 14488608^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601930525 + ... + 602352444.

It is an arithmetic number, because the mean of its divisors is an integer number (7134292742577).

Almost surely, 2^{254055535140240} is an apocalyptic number.

254055535140240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254055535140240 is an abundant number, since it is smaller than the sum of its proper divisors (602059593969000).

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

254055535140240 is a wasteful number, since it uses less digits than its factorization.

254055535140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204283281 (or 1204283272 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 254055535140240 in words is "two hundred fifty-four trillion, fifty-five billion, five hundred thirty-five million, one hundred forty thousand, two hundred forty".