2102040400 has 30 divisors (see below), whose sum is σ = 5050153022. Its totient is φ = 840816000.

The previous prime is 2102040389. The next prime is 2102040401. The reversal of 2102040400 is 40402012.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 2102039104 = 36^2 + 45848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102040401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2627151 + ... + 2627950.

Almost surely, 2^2102040400 is an apocalyptic number.

2102040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102040400 is an abundant number, since it is smaller than the sum of its proper divisors (2948112622).

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

2102040400 is a wasteful number, since it uses less digits than its factorization.

2102040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255119 (or 5255108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2102040400 is about 45848.0141336569. The cubic root of 2102040400 is about 1280.9937757715.

Adding to 2102040400 its reverse (40402012), we get a palindrome (2142442412).

The spelling of 2102040400 in words is "two billion, one hundred two million, forty thousand, four hundred".