2418276672 has 336 divisors, whose sum is σ = 8387608320. Its totient is φ = 651239424.

The previous prime is 2418276647. The next prime is 2418276677. The reversal of 2418276672 is 2766728142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 (2418276677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8253358 + ... + 8253650.

It is an arithmetic number, because the mean of its divisors is an integer number (24963120).

Almost surely, 2^2418276672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2418276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193804160).

2418276672 is an abundant number, since it is smaller than the sum of its proper divisors (5969331648).

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

2418276672 is a wasteful number, since it uses less digits than its factorization.

2418276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 417 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2418276672 is about 49175.9765739329. The cubic root of 2418276672 is about 1342.2559222534.

The spelling of 2418276672 in words is "two billion, four hundred eighteen million, two hundred seventy-six thousand, six hundred seventy-two".