2234819664 has 360 divisors, whose sum is σ = 7996113216. Its totient is φ = 570240000.

The previous prime is 2234819603. The next prime is 2234819669. The reversal of 2234819664 is 4669184322.

2234819664 is a `hidden beast` number, since 2 + 23 + 481 + 96 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234819669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8903539 + ... + 8903789.

Almost surely, 2^2234819664 is an apocalyptic number.

2234819664 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 2234819664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998056608).

2234819664 is an abundant number, since it is smaller than the sum of its proper divisors (5761293552).

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

2234819664 is a wasteful number, since it uses less digits than its factorization.

2234819664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2234819664 is about 47273.8792992494. The cubic root of 2234819664 is about 1307.4171013276.

The spelling of 2234819664 in words is "two billion, two hundred thirty-four million, eight hundred nineteen thousand, six hundred sixty-four".