2618340000 has 360 divisors, whose sum is σ = 9184035168. Its totient is φ = 652800000.

The previous prime is 2618339989. The next prime is 2618340001. The reversal of 2618340000 is 438162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2618340001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17339925 + ... + 17340075.

Almost surely, 2^2618340000 is an apocalyptic number.

2618340000 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 2618340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592017584).

2618340000 is an abundant number, since it is smaller than the sum of its proper divisors (6565695168).

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

2618340000 is a wasteful number, since it uses less digits than its factorization.

2618340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2618340000 is about 51169.7176071942. The cubic root of 2618340000 is about 1378.2944693666.

Adding to 2618340000 its reverse (438162), we get a palindrome (2618778162).

The spelling of 2618340000 in words is "two billion, six hundred eighteen million, three hundred forty thousand".