2252438705736 has 160 divisors (see below), whose sum is σ = 6346142621280. Its totient is φ = 746393356800.

The previous prime is 2252438705731. The next prime is 2252438705761. The reversal of 2252438705736 is 6375078342522.

2252438705736 is a `hidden beast` number, since 2 + 2 + 524 + 3 + 87 + 0 + 5 + 7 + 36 = 666.

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 (2252438705731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91658331 + ... + 91682901.

It is an arithmetic number, because the mean of its divisors is an integer number (39663391383).

Almost surely, 2^{2252438705736} 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 2252438705736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173071310640).

2252438705736 is an abundant number, since it is smaller than the sum of its proper divisors (4093703915544).

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

2252438705736 is a wasteful number, since it uses less digits than its factorization.

2252438705736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25417 (or 25404 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 2252438705736 in words is "two trillion, two hundred fifty-two billion, four hundred thirty-eight million, seven hundred five thousand, seven hundred thirty-six".