2283945523200 has 864 divisors, whose sum is σ = 9114009166080. Its totient is φ = 541846732800.

The previous prime is 2283945523127. The next prime is 2283945523201. The reversal of 2283945523200 is 23255493822.

2283945523200 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 94 + 552 + 3 + 2 + 0 + 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 not an unprimeable number, because it can be changed into a prime (2283945523201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238228807 + ... + 238238393.

It is an arithmetic number, because the mean of its divisors is an integer number (10548621720).

Almost surely, 2^{2283945523200} is an apocalyptic number.

2283945523200 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 2283945523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557004583040).

2283945523200 is an abundant number, since it is smaller than the sum of its proper divisors (6830063642880).

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

2283945523200 is a wasteful number, since it uses less digits than its factorization.

2283945523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2283945523200 in words is "two trillion, two hundred eighty-three billion, nine hundred forty-five million, five hundred twenty-three thousand, two hundred".