2293224960 has 320 divisors, whose sum is σ = 8007487488. Its totient is φ = 556498944.

The previous prime is 2293224943. The next prime is 2293224971. The reversal of 2293224960 is 694223922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10283409 + ... + 10283631.

Almost surely, 2^2293224960 is an apocalyptic number.

2293224960 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 2293224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003743744).

2293224960 is an abundant number, since it is smaller than the sum of its proper divisors (5714262528).

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

2293224960 is a wasteful number, since it uses less digits than its factorization.

2293224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2293224960 is about 47887.6284649804. The cubic root of 2293224960 is about 1318.7087464615.

The spelling of 2293224960 in words is "two billion, two hundred ninety-three million, two hundred twenty-four thousand, nine hundred sixty".