2100442432 has 112 divisors (see below), whose sum is σ = 4812377472. Its totient is φ = 900218880.

The previous prime is 2100442427. The next prime is 2100442493. The reversal of 2100442432 is 2342440012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181128 + ... + 1182904.

It is an arithmetic number, because the mean of its divisors is an integer number (42967656).

Almost surely, 2^2100442432 is an apocalyptic number.

2100442432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406188736).

2100442432 is an abundant number, since it is smaller than the sum of its proper divisors (2711935040).

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

2100442432 is a wasteful number, since it uses less digits than its factorization.

2100442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2100442432 is about 45830.5840242081. The cubic root of 2100442432 is about 1280.6690902918.

Adding to 2100442432 its reverse (2342440012), we get a palindrome (4442882444).

It can be divided in two parts, 21004 and 42432, that added together give a palindrome (63436).

The spelling of 2100442432 in words is "two billion, one hundred million, four hundred forty-two thousand, four hundred thirty-two".