2118205440 has 540 divisors, whose sum is σ = 8418890844. Its totient is φ = 490733568.

The previous prime is 2118205399. The next prime is 2118205483. The reversal of 2118205440 is 445028112.

2118205440 is a `hidden beast` number, since 2 + 1 + 18 + 205 + 440 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 201867264 + 1916338176 = 14208^2 + 43776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124600312 + ... + 124600328.

Almost surely, 2^2118205440 is an apocalyptic number.

2118205440 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 2118205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209445422).

2118205440 is an abundant number, since it is smaller than the sum of its proper divisors (6300685404).

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

2118205440 is a wasteful number, since it uses less digits than its factorization.

2118205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2118205440 is about 46023.9659308061. The cubic root of 2118205440 is about 1284.2690791938.

The spelling of 2118205440 in words is "two billion, one hundred eighteen million, two hundred five thousand, four hundred forty".