2168591040 has 756 divisors, whose sum is σ = 9612465408. Its totient is φ = 447068160.

The previous prime is 2168591017. The next prime is 2168591057. The reversal of 2168591040 is 401958612.

2168591040 is a `hidden beast` number, since 2 + 1 + 68 + 591 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2168590986 and 2168591004.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17075457 + ... + 17075583.

Almost surely, 2^2168591040 is an apocalyptic number.

2168591040 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 2168591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806232704).

2168591040 is an abundant number, since it is smaller than the sum of its proper divisors (7443874368).

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

2168591040 is a wasteful number, since it uses less digits than its factorization.

2168591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2168591040 is about 46568.1333102369. The cubic root of 2168591040 is about 1294.3723279150.

The spelling of 2168591040 in words is "two billion, one hundred sixty-eight million, five hundred ninety-one thousand, forty".