224240040600 has 192 divisors, whose sum is σ = 734775888000. Its totient is φ = 56414361600.

The previous prime is 224240040599. The next prime is 224240040617. The reversal of 224240040600 is 6040042422.

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 47 ways as a sum of consecutive naturals, for example, 2706591 + ... + 2788209.

It is an arithmetic number, because the mean of its divisors is an integer number (3826957750).

Almost surely, 2^224240040600 is an apocalyptic number.

224240040600 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 224240040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367387944000).

224240040600 is an abundant number, since it is smaller than the sum of its proper divisors (510535847400).

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

224240040600 is a wasteful number, since it uses less digits than its factorization.

224240040600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81898 (or 81889 counting only the distinct ones).

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

The spelling of 224240040600 in words is "two hundred twenty-four billion, two hundred forty million, forty thousand, six hundred".