2842712712 has 128 divisors (see below), whose sum is σ = 9084979200. Its totient is φ = 806760000.

The previous prime is 2842712699. The next prime is 2842712713. The reversal of 2842712712 is 2172172482.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (2842712713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222087 + ... + 234537.

It is an arithmetic number, because the mean of its divisors is an integer number (70976400).

Almost surely, 2^2842712712 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 2842712712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542489600).

2842712712 is an abundant number, since it is smaller than the sum of its proper divisors (6242266488).

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

2842712712 is a wasteful number, since it uses less digits than its factorization.

2842712712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12624 (or 12614 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2842712712 is about 53317.0958698990. The cubic root of 2842712712 is about 1416.5904963214.

The spelling of 2842712712 in words is "two billion, eight hundred forty-two million, seven hundred twelve thousand, seven hundred twelve".