2102100240 has 80 divisors (see below), whose sum is σ = 6692660928. Its totient is φ = 545407488.

The previous prime is 2102100229. The next prime is 2102100263. The reversal of 2102100240 is 420012012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 109482 + ... + 127241.

Almost surely, 2^2102100240 is an apocalyptic number.

2102100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102100240 is an abundant number, since it is smaller than the sum of its proper divisors (4590560688).

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

2102100240 is a wasteful number, since it uses less digits than its factorization.

2102100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236776 (or 236770 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2102100240 is about 45848.6667199822. Note that the first 3 decimals coincide. The cubic root of 2102100240 is about 1281.0059312530.

Adding to 2102100240 its reverse (420012012), we get a palindrome (2522112252).

The spelling of 2102100240 in words is "two billion, one hundred two million, one hundred thousand, two hundred forty".