2283534628800 has 672 divisors, whose sum is σ = 8091414116352. Its totient is φ = 561736581120.

The previous prime is 2283534628777. The next prime is 2283534628801. The reversal of 2283534628800 is 88264353822.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283534628801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1219184664 + ... + 1219186536.

It is an arithmetic number, because the mean of its divisors is an integer number (12040794816).

Almost surely, 2^{2283534628800} is an apocalyptic number.

2283534628800 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 2283534628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045707058176).

2283534628800 is an abundant number, since it is smaller than the sum of its proper divisors (5807879487552).

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

2283534628800 is a wasteful number, since it uses less digits than its factorization.

2283534628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 2283534628800 in words is "two trillion, two hundred eighty-three billion, five hundred thirty-four million, six hundred twenty-eight thousand, eight hundred".