2223374400 has 672 divisors, whose sum is σ = 9048170880. Its totient is φ = 527523840.

The previous prime is 2223374389. The next prime is 2223374411. The reversal of 2223374400 is 44733222.

2223374400 is a `hidden beast` number, since 2 + 223 + 37 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2223374389) and next prime (2223374411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20779147 + ... + 20779253.

It is an arithmetic number, because the mean of its divisors is an integer number (13464540).

Almost surely, 2^2223374400 is an apocalyptic number.

2223374400 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 2223374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524085440).

2223374400 is an abundant number, since it is smaller than the sum of its proper divisors (6824796480).

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

2223374400 is a wasteful number, since it uses less digits than its factorization.

2223374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2223374400 is about 47152.6711862647. The cubic root of 2223374400 is about 1305.1813725980.

The spelling of 2223374400 in words is "two billion, two hundred twenty-three million, three hundred seventy-four thousand, four hundred".