2124201600 has 144 divisors (see below), whose sum is σ = 7579740870. Its totient is φ = 566446080.

The previous prime is 2124201589. The next prime is 2124201617. The reversal of 2124201600 is 61024212.

2124201600 is a `hidden beast` number, since 21 + 2 + 42 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1222761024 + 901440576 = 34968^2 + 30024^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8079 + ... + 65678.

Almost surely, 2^2124201600 is an apocalyptic number.

2124201600 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 2124201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789870435).

2124201600 is an abundant number, since it is smaller than the sum of its proper divisors (5455539270).

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

2124201600 is a wasteful number, since it uses less digits than its factorization.

2124201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73787 (or 73767 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2124201600 is about 46089.0616090196. The cubic root of 2124201600 is about 1285.4797625149.

Adding to 2124201600 its reverse (61024212), we get a palindrome (2185225812).

The spelling of 2124201600 in words is "two billion, one hundred twenty-four million, two hundred one thousand, six hundred".