2099936692224 has 144 divisors (see below), whose sum is σ = 6931432085760. Its totient is φ = 599981875200.

The previous prime is 2099936692211. The next prime is 2099936692267. The reversal of 2099936692224 is 4222966399902.

2099936692224 is a `hidden beast` number, since 209 + 99 + 36 + 6 + 92 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2099936692224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8008752 + ... + 8266799.

It is an arithmetic number, because the mean of its divisors is an integer number (48134945040).

Almost surely, 2^{2099936692224} is an apocalyptic number.

2099936692224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2099936692224 is an abundant number, since it is smaller than the sum of its proper divisors (4831495393536).

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

2099936692224 is a wasteful number, since it uses less digits than its factorization.

2099936692224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16275586 (or 16275563 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 2099936692224 in words is "two trillion, ninety-nine billion, nine hundred thirty-six million, six hundred ninety-two thousand, two hundred twenty-four".