2099534400 has 252 divisors, whose sum is σ = 7508457424. Its totient is φ = 556416000.

The previous prime is 2099534399. The next prime is 2099534407. The reversal of 2099534400 is 44359902.

2099534400 is a `hidden beast` number, since 209 + 9 + 5 + 3 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2099534407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3038055 + ... + 3038745.

Almost surely, 2^2099534400 is an apocalyptic number.

2099534400 is a gapful number since it is divisible by the number (20) 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 2099534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754228712).

2099534400 is an abundant number, since it is smaller than the sum of its proper divisors (5408923024).

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

2099534400 is a wasteful number, since it uses less digits than its factorization.

2099534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2099534400 is about 45820.6765554591. The cubic root of 2099534400 is about 1280.4845170939.

The spelling of 2099534400 in words is "two billion, ninety-nine million, five hundred thirty-four thousand, four hundred".