2618125728 has 96 divisors (see below), whose sum is σ = 7056403200. Its totient is φ = 849678336.

The previous prime is 2618125721. The next prime is 2618125733. The reversal of 2618125728 is 8275218162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2618125728.

It is not an unprimeable number, because it can be changed into a prime (2618125721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551268 + ... + 555996.

It is an arithmetic number, because the mean of its divisors is an integer number (73504200).

Almost surely, 2^2618125728 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 2618125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528201600).

2618125728 is an abundant number, since it is smaller than the sum of its proper divisors (4438277472).

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

2618125728 is a wasteful number, since it uses less digits than its factorization.

2618125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894 (or 4886 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 2618125728 is about 51167.6238260094. The cubic root of 2618125728 is about 1378.2568707394.

The spelling of 2618125728 in words is "two billion, six hundred eighteen million, one hundred twenty-five thousand, seven hundred twenty-eight".