2642088200 has 48 divisors (see below), whose sum is σ = 6409946880. Its totient is φ = 1010884160.

The previous prime is 2642088089. The next prime is 2642088203. The reversal of 2642088200 is 28802462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2642088203) 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, 282584 + ... + 291783.

It is an arithmetic number, because the mean of its divisors is an integer number (133540560).

Almost surely, 2^2642088200 is an apocalyptic number.

2642088200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642088200 is an abundant number, since it is smaller than the sum of its proper divisors (3767858680).

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

2642088200 is a wasteful number, since it uses less digits than its factorization.

2642088200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574406 (or 574397 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2642088200 is about 51401.2470665839. The cubic root of 2642088200 is about 1382.4489526369.

The spelling of 2642088200 in words is "two billion, six hundred forty-two million, eighty-eight thousand, two hundred".