2100004000 has 48 divisors (see below), whose sum is σ = 5159719656. Its totient is φ = 840000000.

The previous prime is 2100003977. The next prime is 2100004003. The reversal of 2100004000 is 4000012.

It can be written as a sum of positive squares in 4 ways, for example, as 554885136 + 1545118864 = 23556^2 + 39308^2 .

It is not an unprimeable number, because it can be changed into a prime (2100004003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258501 + ... + 266500.

Almost surely, 2^2100004000 is an apocalyptic number.

2100004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100004000 is an abundant number, since it is smaller than the sum of its proper divisors (3059715656).

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

2100004000 is an equidigital number, since it uses as much as digits as its factorization.

2100004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525026 (or 525008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2100004000 is about 45825.8005931157. The cubic root of 2100004000 is about 1280.5799780531.

Adding to 2100004000 its reverse (4000012), we get a palindrome (2104004012).

The spelling of 2100004000 in words is "two billion, one hundred million, four thousand".