2418816972 has 96 divisors (see below), whose sum is σ = 6650138880. Its totient is φ = 674599680.

The previous prime is 2418816937. The next prime is 2418816989. The reversal of 2418816972 is 2796188142.

It is a happy number.

It is a super-3 number, since 3×2418816972³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638179 + ... + 641957.

It is an arithmetic number, because the mean of its divisors is an integer number (69272280).

Almost surely, 2^2418816972 is an apocalyptic number.

2418816972 is a gapful number since it is divisible by the number (22) 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 2418816972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325069440).

2418816972 is an abundant number, since it is smaller than the sum of its proper divisors (4231321908).

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

2418816972 is a wasteful number, since it uses less digits than its factorization.

2418816972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4181 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 2418816972 is about 49181.4698031688. The cubic root of 2418816972 is about 1342.3558786782.

The spelling of 2418816972 in words is "two billion, four hundred eighteen million, eight hundred sixteen thousand, nine hundred seventy-two".