2284464331800 has 1152 divisors, whose sum is σ = 9291879567360. Its totient is φ = 492015513600.

The previous prime is 2284464331781. The next prime is 2284464331811. The reversal of 2284464331800 is 81334644822.

It is a happy number.

2284464331800 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 464 + 3 + 3 + 180 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3374393062 + ... + 3374393738.

It is an arithmetic number, because the mean of its divisors is an integer number (8065867680).

Almost surely, 2^{2284464331800} is an apocalyptic number.

2284464331800 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 2284464331800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645939783680).

2284464331800 is an abundant number, since it is smaller than the sum of its proper divisors (7007415235560).

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

2284464331800 is a wasteful number, since it uses less digits than its factorization.

2284464331800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2284464331800 in words is "two trillion, two hundred eighty-four billion, four hundred sixty-four million, three hundred thirty-one thousand, eight hundred".