22490401024 has 243 divisors, whose sum is σ = 57102871833. Its totient is φ = 8810919936.

The previous prime is 22490400997. The next prime is 22490401033. The reversal of 22490401024 is 42010409422.

The square root of 22490401024 is 149968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3326982400 + 19163418624 = 57680^2 + 138432^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22490400983 and 22490401001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218353357 + ... + 218353459.

Almost surely, 2^22490401024 is an apocalyptic number.

22490401024 is the 149968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22490401024

22490401024 is an abundant number, since it is smaller than the sum of its proper divisors (34612470809).

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

22490401024 is an equidigital number, since it uses as much as digits as its factorization.

22490401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 22490401024 in words is "twenty-two billion, four hundred ninety million, four hundred one thousand, twenty-four".