22452424002000 has 480 divisors, whose sum is σ = 82156795628544. Its totient is φ = 5707684224000.

The previous prime is 22452424001989. The next prime is 22452424002103. The reversal of 22452424002000 is 20042425422.

22452424002000 is a `hidden beast` number, since 2 + 2 + 4 + 52 + 4 + 2 + 400 + 200 + 0 = 666.

It is a super-2 number, since 2×22452424002000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37085722 + ... + 37686278.

Almost surely, 2^{22452424002000} is an apocalyptic number.

22452424002000 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 22452424002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41078397814272).

22452424002000 is an abundant number, since it is smaller than the sum of its proper divisors (59704371626544).

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

22452424002000 is a wasteful number, since it uses less digits than its factorization.

22452424002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600684 (or 600665 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 22452424002000 its reverse (20042425422), we get a palindrome (22472466427422).

The spelling of 22452424002000 in words is "twenty-two trillion, four hundred fifty-two billion, four hundred twenty-four million, two thousand".