2288542032 has 320 divisors, whose sum is σ = 7770931200. Its totient is φ = 631411200.

The previous prime is 2288542031. The next prime is 2288542079. The reversal of 2288542032 is 2302458822.

2288542032 is a `hidden beast` number, since 2 + 2 + 88 + 542 + 0 + 32 = 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 (2288542031) 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, 18019953 + ... + 18020079.

It is an arithmetic number, because the mean of its divisors is an integer number (24284160).

Almost surely, 2^2288542032 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 2288542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885465600).

2288542032 is an abundant number, since it is smaller than the sum of its proper divisors (5482389168).

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

2288542032 is a wasteful number, since it uses less digits than its factorization.

2288542032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2288542032 is about 47838.7085109956. The cubic root of 2288542032 is about 1317.8105024975.

The spelling of 2288542032 in words is "two billion, two hundred eighty-eight million, five hundred forty-two thousand, thirty-two".