2168587840 has 56 divisors (see below), whose sum is σ = 5176537272. Its totient is φ = 865320960.

The previous prime is 2168587831. The next prime is 2168587879. The reversal of 2168587840 is 487858612.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 2168578624 = 96^2 + 46568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126672 + ... + 142768.

Almost surely, 2^2168587840 is an apocalyptic number.

2168587840 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 2168587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588268636).

2168587840 is an abundant number, since it is smaller than the sum of its proper divisors (3007949432).

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

2168587840 is a wasteful number, since it uses less digits than its factorization.

2168587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16535 (or 16525 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The square root of 2168587840 is about 46568.0989519650. The cubic root of 2168587840 is about 1294.3716912507.

The spelling of 2168587840 in words is "two billion, one hundred sixty-eight million, five hundred eighty-seven thousand, eight hundred forty".