2642181216 has 24 divisors (see below), whose sum is σ = 6935725944. Its totient is φ = 880727040.

The previous prime is 2642181197. The next prime is 2642181221. The reversal of 2642181216 is 6121812462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2642181216² = 13962243156366477312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13761265 + ... + 13761456.

It is an arithmetic number, because the mean of its divisors is an integer number (288988581).

Almost surely, 2^2642181216 is an apocalyptic number.

It is an amenable number.

2642181216 is an abundant number, since it is smaller than the sum of its proper divisors (4293544728).

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

2642181216 is a wasteful number, since it uses less digits than its factorization.

2642181216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27522734 (or 27522726 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 2642181216 is about 51402.1518615709. The cubic root of 2642181216 is about 1382.4651757091.

Adding to 2642181216 its reverse (6121812462), we get a palindrome (8763993678).

The spelling of 2642181216 in words is "two billion, six hundred forty-two million, one hundred eighty-one thousand, two hundred sixteen".