2253984479442 has 96 divisors (see below), whose sum is σ = 5105657217024. Its totient is φ = 745248243600.

The previous prime is 2253984479419. The next prime is 2253984479443. The reversal of 2253984479442 is 2449744893522.

2253984479442 is a `hidden beast` number, since 2 + 2 + 539 + 8 + 4 + 4 + 7 + 94 + 4 + 2 = 666.

2253984479442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2253984479442.

It is not an unprimeable number, because it can be changed into a prime (2253984479443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29859567 + ... + 29934957.

It is an arithmetic number, because the mean of its divisors is an integer number (53183929344).

Almost surely, 2^{2253984479442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253984479442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552828608512).

2253984479442 is an abundant number, since it is smaller than the sum of its proper divisors (2851672737582).

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

2253984479442 is a wasteful number, since it uses less digits than its factorization.

2253984479442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75906 (or 75894 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 2253984479442 in words is "two trillion, two hundred fifty-three billion, nine hundred eighty-four million, four hundred seventy-nine thousand, four hundred forty-two".