254131131002240 has 64 divisors (see below), whose sum is σ = 607670411495760. Its totient is φ = 101629332682752.

The previous prime is 254131131002233. The next prime is 254131131002261. The reversal of 254131131002240 is 42200131131452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42339422 + ... + 47967581.

Almost surely, 2^{254131131002240} is an apocalyptic number.

254131131002240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254131131002240 is an abundant number, since it is smaller than the sum of its proper divisors (353539280493520).

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

254131131002240 is an equidigital number, since it uses as much as digits as its factorization.

254131131002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90311419 (or 90311407 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 254131131002240 its reverse (42200131131452), we get a palindrome (296331262133692).

The spelling of 254131131002240 in words is "two hundred fifty-four trillion, one hundred thirty-one billion, one hundred thirty-one million, two thousand, two hundred forty".