2252033406 has 96 divisors (see below), whose sum is σ = 5927600640. Its totient is φ = 603588672.

The previous prime is 2252033369. The next prime is 2252033411. The reversal of 2252033406 is 6043302522.

2252033406 is a `hidden beast` number, since 2 + 252 + 0 + 3 + 3 + 406 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2252033406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242016 + ... + 251148.

It is an arithmetic number, because the mean of its divisors is an integer number (61745840).

Almost surely, 2^2252033406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252033406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963800320).

2252033406 is an abundant number, since it is smaller than the sum of its proper divisors (3675567234).

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

2252033406 is a wasteful number, since it uses less digits than its factorization.

2252033406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2252033406 is about 47455.5940432738. The cubic root of 2252033406 is about 1310.7653213071.

Adding to 2252033406 its reverse (6043302522), we get a palindrome (8295335928).

The spelling of 2252033406 in words is "two billion, two hundred fifty-two million, thirty-three thousand, four hundred six".