2818188240 has 160 divisors (see below), whose sum is σ = 10002859776. Its totient is φ = 642969600.

The previous prime is 2818188203. The next prime is 2818188257. The reversal of 2818188240 is 428818182.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2818188192 and 2818188201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176484 + ... + 1178876.

Almost surely, 2^2818188240 is an apocalyptic number.

2818188240 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 2818188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001429888).

2818188240 is an abundant number, since it is smaller than the sum of its proper divisors (7184671536).

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

2818188240 is a wasteful number, since it uses less digits than its factorization.

2818188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The square root of 2818188240 is about 53086.6107413159. The cubic root of 2818188240 is about 1412.5050182817.

The spelling of 2818188240 in words is "two billion, eight hundred eighteen million, one hundred eighty-eight thousand, two hundred forty".