2285442432 has 512 divisors, whose sum is σ = 8545152000. Its totient is φ = 588736512.

The previous prime is 2285442421. The next prime is 2285442437. The reversal of 2285442432 is 2342445822.

2285442432 is a `hidden beast` number, since 228 + 5 + 4 + 424 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285442437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53149803 + ... + 53149845.

It is an arithmetic number, because the mean of its divisors is an integer number (16689750).

Almost surely, 2^2285442432 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 2285442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272576000).

2285442432 is an abundant number, since it is smaller than the sum of its proper divisors (6259709568).

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

2285442432 is an equidigital number, since it uses as much as digits as its factorization.

2285442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 68 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 2285442432 is about 47806.3011746360. The cubic root of 2285442432 is about 1317.2152864365.

The spelling of 2285442432 in words is "two billion, two hundred eighty-five million, four hundred forty-two thousand, four hundred thirty-two".