2223825408 has 400 divisors, whose sum is σ = 7793950560. Its totient is φ = 625895424.

The previous prime is 2223825397. The next prime is 2223825413. The reversal of 2223825408 is 8045283222.

2223825408 is a `hidden beast` number, since 2 + 223 + 8 + 25 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33191391 + ... + 33191457.

Almost surely, 2^2223825408 is an apocalyptic number.

2223825408 is a gapful number since it is divisible by the number (28) 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 2223825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896975280).

2223825408 is an abundant number, since it is smaller than the sum of its proper divisors (5570125152).

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

2223825408 is an frugal number, since it uses more digits than its factorization.

2223825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2223825408 is about 47157.4533663556. The cubic root of 2223825408 is about 1305.2696179610.

The spelling of 2223825408 in words is "two billion, two hundred twenty-three million, eight hundred twenty-five thousand, four hundred eight".