2224696320 has 1056 divisors, whose sum is σ = 10454438400. Its totient is φ = 437944320.

The previous prime is 2224696277. The next prime is 2224696333. The reversal of 2224696320 is 236964222.

2224696320 is a `hidden beast` number, since 2 + 2 + 246 + 96 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117089271 + ... + 117089289.

Almost surely, 2^2224696320 is an apocalyptic number.

2224696320 is a gapful number since it is divisible by the number (20) 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 2224696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227219200).

2224696320 is an abundant number, since it is smaller than the sum of its proper divisors (8229742080).

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

2224696320 is a wasteful number, since it uses less digits than its factorization.

2224696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

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

The square root of 2224696320 is about 47166.6865488768. The cubic root of 2224696320 is about 1305.4399890408.

The spelling of 2224696320 in words is "two billion, two hundred twenty-four million, six hundred ninety-six thousand, three hundred twenty".