22260644400 has 120 divisors (see below), whose sum is σ = 72109826640. Its totient is φ = 5869445120.

The previous prime is 22260644377. The next prime is 22260644447. The reversal of 22260644400 is 444606222.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584 + ... + 211016.

It is an arithmetic number, because the mean of its divisors is an integer number (600915222).

Almost surely, 2^22260644400 is an apocalyptic number.

22260644400 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 22260644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36054913320).

22260644400 is an abundant number, since it is smaller than the sum of its proper divisors (49849182240).

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

22260644400 is a wasteful number, since it uses less digits than its factorization.

22260644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208543 (or 208532 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 22260644400 in words is "twenty-two billion, two hundred sixty million, six hundred forty-four thousand, four hundred".