2288643840 has 432 divisors, whose sum is σ = 9171804096. Its totient is φ = 516096000.

The previous prime is 2288643839. The next prime is 2288643857. The reversal of 2288643840 is 483468822.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 8144500 + ... + 8144780.

It is an arithmetic number, because the mean of its divisors is an integer number (21231028).

Almost surely, 2^2288643840 is an apocalyptic number.

2288643840 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 2288643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585902048).

2288643840 is an abundant number, since it is smaller than the sum of its proper divisors (6883160256).

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

2288643840 is a wasteful number, since it uses less digits than its factorization.

2288643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2288643840 is about 47839.7725747103. The cubic root of 2288643840 is about 1317.8300435649.

The spelling of 2288643840 in words is "two billion, two hundred eighty-eight million, six hundred forty-three thousand, eight hundred forty".