2223955440 has 480 divisors, whose sum is σ = 9034421760. Its totient is φ = 497912832.

The previous prime is 2223955417. The next prime is 2223955441. The reversal of 2223955440 is 445593222.

2223955440 is a `hidden beast` number, since 2 + 2 + 23 + 95 + 544 + 0 = 666.

2223955440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2223955395 and 2223955404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223955441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8028582 + ... + 8028858.

It is an arithmetic number, because the mean of its divisors is an integer number (18821712).

Almost surely, 2^2223955440 is an apocalyptic number.

2223955440 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 2223955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517210880).

2223955440 is an abundant number, since it is smaller than the sum of its proper divisors (6810466320).

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

2223955440 is a wasteful number, since it uses less digits than its factorization.

2223955440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2223955440 is about 47158.8320466061. The cubic root of 2223955440 is about 1305.2950581342.

The spelling of 2223955440 in words is "two billion, two hundred twenty-three million, nine hundred fifty-five thousand, four hundred forty".