2254123309824 has 144 divisors (see below), whose sum is σ = 6682145461600. Its totient is φ = 749536395264.

The previous prime is 2254123309819. The next prime is 2254123309883. The reversal of 2254123309824 is 4289033214522.

2254123309824 is a `hidden beast` number, since 2 + 2 + 541 + 23 + 3 + 0 + 9 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2254123309824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2428332 + ... + 3225684.

Almost surely, 2^{2254123309824} is an apocalyptic number.

2254123309824 is a gapful number since it is divisible by the number (24) 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 2254123309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341072730800).

2254123309824 is an abundant number, since it is smaller than the sum of its proper divisors (4428022151776).

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

2254123309824 is an equidigital number, since it uses as much as digits as its factorization.

2254123309824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797787 (or 797767 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2254123309824 in words is "two trillion, two hundred fifty-four billion, one hundred twenty-three million, three hundred nine thousand, eight hundred twenty-four".