2235829824 has 112 divisors (see below), whose sum is σ = 6641185600. Its totient is φ = 737538048.

The previous prime is 2235829823. The next prime is 2235829853. The reversal of 2235829824 is 4289285322.

2235829824 is a `hidden beast` number, since 2 + 2 + 358 + 298 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2235829824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235829823) 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, 160947 + ... + 174285.

It is an arithmetic number, because the mean of its divisors is an integer number (59296300).

Almost surely, 2^2235829824 is an apocalyptic number.

2235829824 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 2235829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320592800).

2235829824 is an abundant number, since it is smaller than the sum of its proper divisors (4405355776).

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

2235829824 is a wasteful number, since it uses less digits than its factorization.

2235829824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13457 (or 13441 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2235829824 is about 47284.5622164359. The cubic root of 2235829824 is about 1307.6140600264.

The spelling of 2235829824 in words is "two billion, two hundred thirty-five million, eight hundred twenty-nine thousand, eight hundred twenty-four".