2223509400 has 384 divisors, whose sum is σ = 8910144000. Its totient is φ = 499115520.

The previous prime is 2223509389. The next prime is 2223509401. The reversal of 2223509400 is 49053222.

2223509400 is a `hidden beast` number, since 22 + 235 + 0 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223509401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2229702 + ... + 2230698.

It is an arithmetic number, because the mean of its divisors is an integer number (23203500).

Almost surely, 2^2223509400 is an apocalyptic number.

2223509400 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 2223509400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455072000).

2223509400 is an abundant number, since it is smaller than the sum of its proper divisors (6686634600).

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

2223509400 is a wasteful number, since it uses less digits than its factorization.

2223509400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2223509400 is about 47154.1026847081. The cubic root of 2223509400 is about 1305.2077882899.

The spelling of 2223509400 in words is "two billion, two hundred twenty-three million, five hundred nine thousand, four hundred".