22252641084 has 240 divisors, whose sum is σ = 63403845120. Its totient is φ = 6781449600.

The previous prime is 22252641071. The next prime is 22252641097. The reversal of 22252641084 is 48014625222.

22252641084 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 2 + 641 + 0 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22252641071) and next prime (22252641097).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34393249 + ... + 34393895.

It is an arithmetic number, because the mean of its divisors is an integer number (264182688).

Almost surely, 2^22252641084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22252641084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701922560).

22252641084 is an abundant number, since it is smaller than the sum of its proper divisors (41151204036).

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

22252641084 is a wasteful number, since it uses less digits than its factorization.

22252641084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 22252641084 in words is "twenty-two billion, two hundred fifty-two million, six hundred forty-one thousand, eighty-four".