2230464600 has 960 divisors, whose sum is σ = 10208721600. Its totient is φ = 437944320.

The previous prime is 2230464581. The next prime is 2230464611. The reversal of 2230464600 is 64640322.

2230464600 is a `hidden beast` number, since 22 + 30 + 4 + 6 + 4 + 600 = 666.

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 239 ways as a sum of consecutive naturals, for example, 25061356 + ... + 25061444.

It is an arithmetic number, because the mean of its divisors is an integer number (10634085).

Almost surely, 2^2230464600 is an apocalyptic number.

2230464600 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 2230464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104360800).

2230464600 is an abundant number, since it is smaller than the sum of its proper divisors (7978257000).

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

2230464600 is a wasteful number, since it uses less digits than its factorization.

2230464600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2230464600 is about 47227.7947823101. The cubic root of 2230464600 is about 1306.5672806656.

The spelling of 2230464600 in words is "two billion, two hundred thirty million, four hundred sixty-four thousand, six hundred".