2642167808 has 144 divisors (see below), whose sum is σ = 6226578540. Its totient is φ = 1117519872.

The previous prime is 2642167807. The next prime is 2642167811. The reversal of 2642167808 is 8087612462.

It can be written as a sum of positive squares in 2 ways, for example, as 2067702784 + 574465024 = 45472^2 + 23968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642167807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11339660 + ... + 11339892.

Almost surely, 2^2642167808 is an apocalyptic number.

2642167808 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 2642167808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113289270).

2642167808 is an abundant number, since it is smaller than the sum of its proper divisors (3584410732).

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

2642167808 is a wasteful number, since it uses less digits than its factorization.

2642167808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2642167808 is about 51402.0214388500. The cubic root of 2642167808 is about 1382.4628372214.

The spelling of 2642167808 in words is "two billion, six hundred forty-two million, one hundred sixty-seven thousand, eight hundred eight".