2268147600 has 180 divisors, whose sum is σ = 7923210516. Its totient is φ = 600837120.

The previous prime is 2268147551. The next prime is 2268147631. The reversal of 2268147600 is 67418622.

2268147600 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 1 + 47 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8856576 + 2259291024 = 2976^2 + 47532^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563194 + ... + 567206.

Almost surely, 2^2268147600 is an apocalyptic number.

2268147600 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 2268147600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961605258).

2268147600 is an abundant number, since it is smaller than the sum of its proper divisors (5655062916).

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

2268147600 is a wasteful number, since it uses less digits than its factorization.

2268147600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2268147600 is about 47625.0732282902. The cubic root of 2268147600 is about 1313.8842429806.

The spelling of 2268147600 in words is "two billion, two hundred sixty-eight million, one hundred forty-seven thousand, six hundred".