20224604400 has 960 divisors, whose sum is σ = 88344345600. Its totient is φ = 3819110400.

The previous prime is 20224604369. The next prime is 20224604423. The reversal of 20224604400 is 440642202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135735526 + ... + 135735674.

It is an arithmetic number, because the mean of its divisors is an integer number (92025360).

Almost surely, 2^20224604400 is an apocalyptic number.

20224604400 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 20224604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44172172800).

20224604400 is an abundant number, since it is smaller than the sum of its proper divisors (68119741200).

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

20224604400 is a wasteful number, since it uses less digits than its factorization.

20224604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 20224604400 in words is "twenty billion, two hundred twenty-four million, six hundred four thousand, four hundred".