2099640400 has 360 divisors, whose sum is σ = 6184104192. Its totient is φ = 680064000.

The previous prime is 2099640383. The next prime is 2099640427. The reversal of 2099640400 is 40469902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29572365 + ... + 29572435.

Almost surely, 2^2099640400 is an apocalyptic number.

2099640400 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 2099640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092052096).

2099640400 is an abundant number, since it is smaller than the sum of its proper divisors (4084463792).

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

2099640400 is a wasteful number, since it uses less digits than its factorization.

2099640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2099640400 is about 45821.8332239119. The cubic root of 2099640400 is about 1280.5060661692.

The spelling of 2099640400 in words is "two billion, ninety-nine million, six hundred forty thousand, four hundred".