22390542720 has 1024 divisors, whose sum is σ = 101170944000. Its totient is φ = 4551966720.

The previous prime is 22390542703. The next prime is 22390542731. The reversal of 22390542720 is 2724509322.

22390542720 is a `hidden beast` number, since 2 + 2 + 3 + 90 + 542 + 7 + 20 = 666.

It is a super-2 number, since 2×22390542720² (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45601675 + ... + 45602165.

It is an arithmetic number, because the mean of its divisors is an integer number (98799750).

Almost surely, 2^22390542720 is an apocalyptic number.

22390542720 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 22390542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50585472000).

22390542720 is an abundant number, since it is smaller than the sum of its proper divisors (78780401280).

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

22390542720 is a wasteful number, since it uses less digits than its factorization.

22390542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22390542720 in words is "twenty-two billion, three hundred ninety million, five hundred forty-two thousand, seven hundred twenty".