22602041280 has 1792 divisors, whose sum is σ = 110605824000. Its totient is φ = 4204265472.

The previous prime is 22602041251. The next prime is 22602041321. The reversal of 22602041280 is 8214020622.

It is a happy number.

22602041280 is a `hidden beast` number, since 226 + 0 + 20 + 412 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 253955476 + ... + 253955564.

It is an arithmetic number, because the mean of its divisors is an integer number (61722000).

Almost surely, 2^22602041280 is an apocalyptic number.

22602041280 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 22602041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912000).

22602041280 is an abundant number, since it is smaller than the sum of its proper divisors (88003782720).

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

22602041280 is a wasteful number, since it uses less digits than its factorization.

22602041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 22602041280 in words is "twenty-two billion, six hundred two million, forty-one thousand, two hundred eighty".