22302551040 has 704 divisors, whose sum is σ = 90269752320. Its totient is φ = 4565237760.

The previous prime is 22302551021. The next prime is 22302551057. The reversal of 22302551040 is 4015520322.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22302551040.

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, 128916394 + ... + 128916566.

It is an arithmetic number, because the mean of its divisors is an integer number (128224080).

Almost surely, 2^22302551040 is an apocalyptic number.

22302551040 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 22302551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45134876160).

22302551040 is an abundant number, since it is smaller than the sum of its proper divisors (67967201280).

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

22302551040 is a wasteful number, since it uses less digits than its factorization.

22302551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 22302551040 in words is "twenty-two billion, three hundred two million, five hundred fifty-one thousand, forty".