2046105600 has 576 divisors, whose sum is σ = 8481957120. Its totient is φ = 422707200.

The previous prime is 2046105559. The next prime is 2046105623. The reversal of 2046105600 is 65016402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11827114 + ... + 11827286.

It is an arithmetic number, because the mean of its divisors is an integer number (14725620).

Almost surely, 2^2046105600 is an apocalyptic number.

2046105600 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 2046105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240978560).

2046105600 is an abundant number, since it is smaller than the sum of its proper divisors (6435851520).

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

2046105600 is a wasteful number, since it uses less digits than its factorization.

2046105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2046105600 is about 45233.8987928301. The cubic root of 2046105600 is about 1269.5291618557.

The spelling of 2046105600 in words is "two billion, forty-six million, one hundred five thousand, six hundred".