2099246400 has 252 divisors, whose sum is σ = 7567213212. Its totient is φ = 551854080.

The previous prime is 2099246389. The next prime is 2099246417. The reversal of 2099246400 is 46429902.

2099246400 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 2 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 351337536 + 1747908864 = 18744^2 + 41808^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1050202 + ... + 1052198.

Almost surely, 2^2099246400 is an apocalyptic number.

2099246400 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 2099246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783606606).

2099246400 is an abundant number, since it is smaller than the sum of its proper divisors (5467966812).

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

2099246400 is a wasteful number, since it uses less digits than its factorization.

2099246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2099246400 is about 45817.5337616507. The cubic root of 2099246400 is about 1280.4259650003.

The spelling of 2099246400 in words is "two billion, ninety-nine million, two hundred forty-six thousand, four hundred".