2254031010144 has 72 divisors (see below), whose sum is σ = 6421166355240. Its totient is φ = 750023152128.

The previous prime is 2254031010109. The next prime is 2254031010173. The reversal of 2254031010144 is 4410101304522.

2254031010144 is a `hidden beast` number, since 2 + 2 + 540 + 3 + 10 + 101 + 4 + 4 = 666.

2254031010144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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, 6713542 + ... + 7041285.

It is an arithmetic number, because the mean of its divisors is an integer number (89182866045).

Almost surely, 2^{2254031010144} is an apocalyptic number.

2254031010144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2254031010144 is an abundant number, since it is smaller than the sum of its proper divisors (4167135345096).

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

2254031010144 is a wasteful number, since it uses less digits than its factorization.

2254031010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13755412 (or 13755401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2254031010144 its reverse (4410101304522), we get a palindrome (6664132314666).

The spelling of 2254031010144 in words is "two trillion, two hundred fifty-four billion, thirty-one million, ten thousand, one hundred forty-four".