2142846216 has 96 divisors (see below), whose sum is σ = 6649032000. Its totient is φ = 610727040.

The previous prime is 2142846197. The next prime is 2142846217. The reversal of 2142846216 is 6126482412.

2142846216 is a `hidden beast` number, since 2 + 1 + 4 + 28 + 4 + 621 + 6 = 666.

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 (2142846217) 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, 207135 + ... + 217233.

It is an arithmetic number, because the mean of its divisors is an integer number (69260750).

Almost surely, 2^2142846216 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 2142846216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324516000).

2142846216 is an abundant number, since it is smaller than the sum of its proper divisors (4506185784).

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

2142846216 is a wasteful number, since it uses less digits than its factorization.

2142846216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10532 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2142846216 is about 46290.8869649308. The cubic root of 2142846216 is about 1289.2297980350.

The spelling of 2142846216 in words is "two billion, one hundred forty-two million, eight hundred forty-six thousand, two hundred sixteen".