2452093200 has 90 divisors (see below), whose sum is σ = 8509457034. Its totient is φ = 653890560.

The previous prime is 2452093199. The next prime is 2452093207. The reversal of 2452093200 is 23902542.

2452093200 is a `hidden beast` number, since 2 + 452 + 0 + 9 + 3 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 208744704 + 2243348496 = 14448^2 + 47364^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×2452093200² = 12025522122972480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2452093207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336969 + ... + 344168.

Almost surely, 2^2452093200 is an apocalyptic number.

2452093200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2452093200 is an abundant number, since it is smaller than the sum of its proper divisors (6057363834).

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

2452093200 is a wasteful number, since it uses less digits than its factorization.

2452093200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681161 (or 681147 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2452093200 is about 49518.6146817538. The cubic root of 2452093200 is about 1348.4835647380.

Adding to 2452093200 its reverse (23902542), we get a palindrome (2475995742).

The spelling of 2452093200 in words is "two billion, four hundred fifty-two million, ninety-three thousand, two hundred".