2283349824 has 420 divisors, whose sum is σ = 8040936420. Its totient is φ = 638668800.

The previous prime is 2283349823. The next prime is 2283349843. The reversal of 2283349824 is 4289433822.

2283349824 is a `hidden beast` number, since 2 + 283 + 349 + 8 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1428840000 + 854509824 = 37800^2 + 29232^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2283349824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283349823) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22607374 + ... + 22607474.

Almost surely, 2^2283349824 is an apocalyptic number.

2283349824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020468210).

2283349824 is an abundant number, since it is smaller than the sum of its proper divisors (5757586596).

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

2283349824 is a wasteful number, since it uses less digits than its factorization.

2283349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2283349824 is about 47784.4098425417. The cubic root of 2283349824 is about 1316.8131386341.

The spelling of 2283349824 in words is "two billion, two hundred eighty-three million, three hundred forty-nine thousand, eight hundred twenty-four".