2145075200 has 90 divisors (see below), whose sum is σ = 5320639926. Its totient is φ = 857866240.

The previous prime is 2145075199. The next prime is 2145075209. The reversal of 2145075200 is 25705412.

It can be written as a sum of positive squares in 3 ways, for example, as 403849216 + 1741225984 = 20096^2 + 41728^2 .

It is a super-2 number, since 2×2145075200² = 9202695227310080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2145075200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145075209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406982 + ... + 412218.

Almost surely, 2^2145075200 is an apocalyptic number.

2145075200 is a gapful number since it is divisible by the number (20) 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 2145075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660319963).

2145075200 is an abundant number, since it is smaller than the sum of its proper divisors (3175564726).

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

2145075200 is an frugal number, since it uses more digits than its factorization.

2145075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 2145075200 is about 46314.9565475344. The cubic root of 2145075200 is about 1289.6766611448.

The spelling of 2145075200 in words is "two billion, one hundred forty-five million, seventy-five thousand, two hundred".