2100205632 has 56 divisors (see below), whose sum is σ = 6350625856. Its totient is φ = 600058368.

The previous prime is 2100205571. The next prime is 2100205637. The reversal of 2100205632 is 2365020012.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×2100205632³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2100205599 and 2100205608.

It is not an unprimeable number, because it can be changed into a prime (2100205637) 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, 779983 + ... + 782670.

Almost surely, 2^2100205632 is an apocalyptic number.

It is an amenable number.

2100205632 is an abundant number, since it is smaller than the sum of its proper divisors (4250420224).

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

2100205632 is a wasteful number, since it uses less digits than its factorization.

2100205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562675 (or 1562665 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2100205632 is about 45828.0005236973. Note that the first 3 decimals coincide. The cubic root of 2100205632 is about 1280.6209617272.

Adding to 2100205632 its reverse (2365020012), we get a palindrome (4465225644).

The spelling of 2100205632 in words is "two billion, one hundred million, two hundred five thousand, six hundred thirty-two".