2254135014012 has 288 divisors, whose sum is σ = 6525438796800. Its totient is φ = 602111397888.

The previous prime is 2254135014011. The next prime is 2254135014017. The reversal of 2254135014012 is 2104105314522.

2254135014012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2254135014012² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254135014011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 589622733 + ... + 589626555.

It is an arithmetic number, because the mean of its divisors is an integer number (22657773600).

Almost surely, 2^{2254135014012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254135014012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262719398400).

2254135014012 is an abundant number, since it is smaller than the sum of its proper divisors (4271303782788).

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

2254135014012 is a wasteful number, since it uses less digits than its factorization.

2254135014012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2254135014012 in words is "two trillion, two hundred fifty-four billion, one hundred thirty-five million, fourteen thousand, twelve".