2100437064 has 144 divisors (see below), whose sum is σ = 6372229500. Its totient is φ = 624349440.

The previous prime is 2100437051. The next prime is 2100437081. The reversal of 2100437064 is 4607340012.

It can be written as a sum of positive squares in 2 ways, for example, as 1984702500 + 115734564 = 44550^2 + 10758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459462 + ... + 464010.

Almost surely, 2^2100437064 is an apocalyptic number.

2100437064 is a gapful number since it is divisible by the number (24) 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 2100437064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186114750).

2100437064 is an abundant number, since it is smaller than the sum of its proper divisors (4271792436).

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

2100437064 is a wasteful number, since it uses less digits than its factorization.

2100437064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2100437064 is about 45830.5254606578. The cubic root of 2100437064 is about 1280.6679993093.

Adding to 2100437064 its reverse (4607340012), we get a palindrome (6707777076).

The spelling of 2100437064 in words is "two billion, one hundred million, four hundred thirty-seven thousand, sixty-four".