2251972436 has 48 divisors (see below), whose sum is σ = 4616747520. Its totient is φ = 941038560.

The previous prime is 2251972433. The next prime is 2251972453. The reversal of 2251972436 is 6342791522.

2251972436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2251972393 and 2251972402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251972433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888491 + ... + 891021.

It is an arithmetic number, because the mean of its divisors is an integer number (96182240).

Almost surely, 2^2251972436 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 2251972436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308373760).

2251972436 is an abundant number, since it is smaller than the sum of its proper divisors (2364775084).

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

2251972436 is a wasteful number, since it uses less digits than its factorization.

2251972436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3322 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 2251972436 is about 47454.9516489059. The cubic root of 2251972436 is about 1310.7534922814.

The spelling of 2251972436 in words is "two billion, two hundred fifty-one million, nine hundred seventy-two thousand, four hundred thirty-six".