2130007104 has 105 divisors (see below), whose sum is σ = 6323873941. Its totient is φ = 708894720.

The previous prime is 2130007097. The next prime is 2130007127. The reversal of 2130007104 is 4017000312.

The square root of 2130007104 is 46152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1922647104 + 207360000 = 43848^2 + 14400^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3322624 + ... + 3323264.

Almost surely, 2^2130007104 is an apocalyptic number.

2130007104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2130007104 is the 46152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130007104

2130007104 is an abundant number, since it is smaller than the sum of its proper divisors (4193866837).

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

2130007104 is an frugal number, since it uses more digits than its factorization.

2130007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The cubic root of 2130007104 is about 1286.6497816368.

Adding to 2130007104 its reverse (4017000312), we get a palindrome (6147007416).

The spelling of 2130007104 in words is "two billion, one hundred thirty million, seven thousand, one hundred four".