2232349416 has 256 divisors, whose sum is σ = 7069824000. Its totient is φ = 646652160.

The previous prime is 2232349331. The next prime is 2232349447. The reversal of 2232349416 is 6149432322.

2232349416 is a `hidden beast` number, since 2 + 2 + 3 + 234 + 9 + 416 = 666.

It is a super-3 number, since 3×2232349416³ (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5889915 + ... + 5890293.

It is an arithmetic number, because the mean of its divisors is an integer number (27616500).

Almost surely, 2^2232349416 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 2232349416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534912000).

2232349416 is an abundant number, since it is smaller than the sum of its proper divisors (4837474584).

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

2232349416 is a wasteful number, since it uses less digits than its factorization.

2232349416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2232349416 is about 47247.7450890516. The cubic root of 2232349416 is about 1306.9352078336.

The spelling of 2232349416 in words is "two billion, two hundred thirty-two million, three hundred forty-nine thousand, four hundred sixteen".