2253735538092 has 168 divisors, whose sum is σ = 5975133406704. Its totient is φ = 743417450496.

The previous prime is 2253735538079. The next prime is 2253735538097. The reversal of 2253735538092 is 2908355373522.

2253735538092 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 7 + 3 + 553 + 80 + 9 + 2 = 666.

2253735538092 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 (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2253735538097) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 221753803 + ... + 221763965.

It is an arithmetic number, because the mean of its divisors is an integer number (35566270278).

Almost surely, 2^{2253735538092} 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 2253735538092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987566703352).

2253735538092 is an abundant number, since it is smaller than the sum of its proper divisors (3721397868612).

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

2253735538092 is a wasteful number, since it uses less digits than its factorization.

2253735538092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10971 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 2253735538092 in words is "two trillion, two hundred fifty-three billion, seven hundred thirty-five million, five hundred thirty-eight thousand, ninety-two".