2099142864 has 480 divisors, whose sum is σ = 7961990400. Its totient is φ = 519561216.

The previous prime is 2099142853. The next prime is 2099142889. The reversal of 2099142864 is 4682419902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6014562 + ... + 6014910.

It is an arithmetic number, because the mean of its divisors is an integer number (16587480).

Almost surely, 2^2099142864 is an apocalyptic number.

2099142864 is a gapful number since it is divisible by the number (24) 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 2099142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980995200).

2099142864 is an abundant number, since it is smaller than the sum of its proper divisors (5862847536).

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

2099142864 is a wasteful number, since it uses less digits than its factorization.

2099142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2099142864 is about 45816.4038745950. The cubic root of 2099142864 is about 1280.4049142140.

The spelling of 2099142864 in words is "two billion, ninety-nine million, one hundred forty-two thousand, eight hundred sixty-four".