2812484070 has 144 divisors (see below), whose sum is σ = 8075785536. Its totient is φ = 678585600.

The previous prime is 2812484069. The next prime is 2812484111. The reversal of 2812484070 is 704842182.

2812484070 is a `hidden beast` number, since 2 + 8 + 1 + 248 + 407 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2950714 + ... + 2951666.

It is an arithmetic number, because the mean of its divisors is an integer number (56081844).

Almost surely, 2^2812484070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812484070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037892768).

2812484070 is an abundant number, since it is smaller than the sum of its proper divisors (5263301466).

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

2812484070 is a wasteful number, since it uses less digits than its factorization.

2812484070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2812484070 is about 53032.8583992981. The cubic root of 2812484070 is about 1411.5513783025.

The spelling of 2812484070 in words is "two billion, eight hundred twelve million, four hundred eighty-four thousand, seventy".