2130745600 has 81 divisors (see below), whose sum is σ = 5283084387. Its totient is φ = 850821120.

The previous prime is 2130745597. The next prime is 2130745601. The reversal of 2130745600 is 65470312.

The square root of 2130745600 is 46160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 601622784 + 1529122816 = 24528^2 + 39104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2130745601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3692512 + ... + 3693088.

Almost surely, 2^2130745600 is an apocalyptic number.

2130745600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2130745600 is the 46160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130745600

2130745600 is an abundant number, since it is smaller than the sum of its proper divisors (3152338787).

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

2130745600 is an frugal number, since it uses more digits than its factorization.

2130745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The cubic root of 2130745600 is about 1286.7984628194.

The spelling of 2130745600 in words is "two billion, one hundred thirty million, seven hundred forty-five thousand, six hundred".