2253552912 has 240 divisors, whose sum is σ = 7572015360. Its totient is φ = 618098688.

The previous prime is 2253552911. The next prime is 2253552923. The reversal of 2253552912 is 2192553522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2253552911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602793 + ... + 606519.

It is an arithmetic number, because the mean of its divisors is an integer number (31550064).

Almost surely, 2^2253552912 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 2253552912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786007680).

2253552912 is an abundant number, since it is smaller than the sum of its proper divisors (5318462448).

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

2253552912 is a wasteful number, since it uses less digits than its factorization.

2253552912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3781 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2253552912 is about 47471.6011105587. The cubic root of 2253552912 is about 1311.0600576075.

It can be divided in two parts, 22535529 and 12, that added together give a triangular number (22535541 = T₆₇₁₃).

The spelling of 2253552912 in words is "two billion, two hundred fifty-three million, five hundred fifty-two thousand, nine hundred twelve".