22964394240 has 864 divisors, whose sum is σ = 90156882816. Its totient is φ = 5573836800.

The previous prime is 22964394181. The next prime is 22964394253. The reversal of 22964394240 is 4249346922.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 227370190 + ... + 227370290.

It is an arithmetic number, because the mean of its divisors is an integer number (104348244).

Almost surely, 2^22964394240 is an apocalyptic number.

22964394240 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 22964394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45078441408).

22964394240 is an abundant number, since it is smaller than the sum of its proper divisors (67192488576).

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

22964394240 is a wasteful number, since it uses less digits than its factorization.

22964394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 22964394240 in words is "twenty-two billion, nine hundred sixty-four million, three hundred ninety-four thousand, two hundred forty".