2251334032 has 40 divisors (see below), whose sum is σ = 4563156600. Its totient is φ = 1074619392.

The previous prime is 2251334027. The next prime is 2251334039. The reversal of 2251334032 is 2304331522.

It can be written as a sum of positive squares in 4 ways, for example, as 490356736 + 1760977296 = 22144^2 + 41964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2251333988 and 2251334006.

It is not an unprimeable number, because it can be changed into a prime (2251334039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14038 + ... + 68554.

It is an arithmetic number, because the mean of its divisors is an integer number (114078915).

Almost surely, 2^2251334032 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 2251334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281578300).

2251334032 is an abundant number, since it is smaller than the sum of its proper divisors (2311822568).

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

2251334032 is a wasteful number, since it uses less digits than its factorization.

2251334032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54643 (or 54637 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2251334032 is about 47448.2247507744. The cubic root of 2251334032 is about 1310.6296202268.

Adding to 2251334032 its reverse (2304331522), we get a palindrome (4555665554).

The spelling of 2251334032 in words is "two billion, two hundred fifty-one million, three hundred thirty-four thousand, thirty-two".