2285268018432 has 576 divisors, whose sum is σ = 7936475904000. Its totient is φ = 567965122560.

The previous prime is 2285268018401. The next prime is 2285268018503. The reversal of 2285268018432 is 2348108625822.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71178319 + ... + 71210417.

It is an arithmetic number, because the mean of its divisors is an integer number (13778604000).

Almost surely, 2^{2285268018432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285268018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968237952000).

2285268018432 is an abundant number, since it is smaller than the sum of its proper divisors (5651207885568).

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

2285268018432 is a wasteful number, since it uses less digits than its factorization.

2285268018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32202 (or 32188 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 2285268018432 in words is "two trillion, two hundred eighty-five billion, two hundred sixty-eight million, eighteen thousand, four hundred thirty-two".