2100042032 has 80 divisors (see below), whose sum is σ = 4687497600. Its totient is φ = 901393920.

The previous prime is 2100042031. The next prime is 2100042073. The reversal of 2100042032 is 2302400012.

It is a junction number, because it is equal to n+sod(n) for n = 2100041998 and 2100042016.

It is not an unprimeable number, because it can be changed into a prime (2100042031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266548 + ... + 1268204.

It is an arithmetic number, because the mean of its divisors is an integer number (58593720).

Almost surely, 2^2100042032 is an apocalyptic number.

2100042032 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 2100042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343748800).

2100042032 is an abundant number, since it is smaller than the sum of its proper divisors (2587455568).

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

2100042032 is a wasteful number, since it uses less digits than its factorization.

2100042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2100042032 is about 45826.2155539818. The cubic root of 2100042032 is about 1280.5877086295.

Adding to 2100042032 its reverse (2302400012), we get a palindrome (4402442044).

The spelling of 2100042032 in words is "two billion, one hundred million, forty-two thousand, thirty-two".