2142621768 has 64 divisors (see below), whose sum is σ = 6141864960. Its totient is φ = 610168896.

The previous prime is 2142621683. The next prime is 2142621769. The reversal of 2142621768 is 8671262412.

It is a hoax number, since the sum of its digits (39) 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 not an unprimeable number, because it can be changed into a prime (2142621769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30805 + ... + 72347.

It is an arithmetic number, because the mean of its divisors is an integer number (95966640).

Almost surely, 2^2142621768 is an apocalyptic number.

2142621768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142621768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070932480).

2142621768 is an abundant number, since it is smaller than the sum of its proper divisors (3999243192).

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

2142621768 is a wasteful number, since it uses less digits than its factorization.

2142621768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41866 (or 41862 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 2142621768 is about 46288.4625797833. The cubic root of 2142621768 is about 1289.1847838927.

The spelling of 2142621768 in words is "two billion, one hundred forty-two million, six hundred twenty-one thousand, seven hundred sixty-eight".