2818129248 has 144 divisors (see below), whose sum is σ = 9202939200. Its totient is φ = 809015040.

The previous prime is 2818129199. The next prime is 2818129283. The reversal of 2818129248 is 8429218182.

2818129248 is a `hidden beast` number, since 281 + 8 + 129 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36783 + ... + 83601.

It is an arithmetic number, because the mean of its divisors is an integer number (63909300).

Almost surely, 2^2818129248 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 2818129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601469600).

2818129248 is an abundant number, since it is smaller than the sum of its proper divisors (6384809952).

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

2818129248 is a wasteful number, since it uses less digits than its factorization.

2818129248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46865 (or 46854 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2818129248 is about 53086.0551180816. The cubic root of 2818129248 is about 1412.4951624133.

The spelling of 2818129248 in words is "two billion, eight hundred eighteen million, one hundred twenty-nine thousand, two hundred forty-eight".