2102456200 has 48 divisors (see below), whose sum is σ = 5264233380. Its totient is φ = 776290560.

The previous prime is 2102456149. The next prime is 2102456203. The reversal of 2102456200 is 26542012.

It can be written as a sum of positive squares in 6 ways, for example, as 556865604 + 1545590596 = 23598^2 + 39314^2 .

It is not an unprimeable number, because it can be changed into a prime (2102456203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 401719 + ... + 406918.

Almost surely, 2^2102456200 is an apocalyptic number.

2102456200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102456200 is an abundant number, since it is smaller than the sum of its proper divisors (3161777180).

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

2102456200 is a wasteful number, since it uses less digits than its factorization.

2102456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808666 (or 808657 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2102456200 is about 45852.5484569833. The cubic root of 2102456200 is about 1281.0782337257.

Adding to 2102456200 its reverse (26542012), we get a palindrome (2128998212).

The spelling of 2102456200 in words is "two billion, one hundred two million, four hundred fifty-six thousand, two hundred".