2618767872 has 240 divisors, whose sum is σ = 9094388160. Its totient is φ = 708673536.

The previous prime is 2618767871. The next prime is 2618767901. The reversal of 2618767872 is 2787678162.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2618767871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610728 + ... + 615000.

It is an arithmetic number, because the mean of its divisors is an integer number (37893284).

Almost surely, 2^2618767872 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 2618767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547194080).

2618767872 is an abundant number, since it is smaller than the sum of its proper divisors (6475620288).

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

2618767872 is a wasteful number, since it uses less digits than its factorization.

2618767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4304 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 2618767872 is about 51173.8983467158. The cubic root of 2618767872 is about 1378.3695425670.

The spelling of 2618767872 in words is "two billion, six hundred eighteen million, seven hundred sixty-seven thousand, eight hundred seventy-two".