2234965824 has 448 divisors, whose sum is σ = 8254471680. Its totient is φ = 577290240.

The previous prime is 2234965793. The next prime is 2234965841. The reversal of 2234965824 is 4285694322.

2234965824 is a `hidden beast` number, since 2 + 23 + 49 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2234965824.

It is a congruent number.

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, 9592012 + ... + 9592244.

It is an arithmetic number, because the mean of its divisors is an integer number (18425160).

Almost surely, 2^2234965824 is an apocalyptic number.

2234965824 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 2234965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).

2234965824 is an abundant number, since it is smaller than the sum of its proper divisors (6019505856).

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

2234965824 is a wasteful number, since it uses less digits than its factorization.

2234965824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2234965824 is about 47275.4251593785. The cubic root of 2234965824 is about 1307.4456029439.

The spelling of 2234965824 in words is "two billion, two hundred thirty-four million, nine hundred sixty-five thousand, eight hundred twenty-four".