2718483768 has 576 divisors, whose sum is σ = 10410516480. Its totient is φ = 646652160.

The previous prime is 2718483763. The next prime is 2718483793. The reversal of 2718483768 is 8673848172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2718483763) 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 143 ways as a sum of consecutive naturals, for example, 21405321 + ... + 21405447.

Almost surely, 2^2718483768 is an apocalyptic number.

2718483768 is a gapful number since it is divisible by the number (28) 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 2718483768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205258240).

2718483768 is an abundant number, since it is smaller than the sum of its proper divisors (7692032712).

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

2718483768 is a wasteful number, since it uses less digits than its factorization.

2718483768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 2718483768 is about 52139.0810045593. The cubic root of 2718483768 is about 1395.6469839694.

The spelling of 2718483768 in words is "two billion, seven hundred eighteen million, four hundred eighty-three thousand, seven hundred sixty-eight".