2452005200 has 60 divisors (see below), whose sum is σ = 6237485820. Its totient is φ = 923105280.

The previous prime is 2452005169. The next prime is 2452005221. The reversal of 2452005200 is 25002542.

It can be written as a sum of positive squares in 6 ways, for example, as 60403984 + 2391601216 = 7772^2 + 48904^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 173495 + ... + 187094.

It is an arithmetic number, because the mean of its divisors is an integer number (103958097).

Almost surely, 2^2452005200 is an apocalyptic number.

2452005200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2452005200 is an abundant number, since it is smaller than the sum of its proper divisors (3785480620).

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

2452005200 is a wasteful number, since it uses less digits than its factorization.

2452005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360624 (or 360613 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2452005200 is about 49517.7261190374. The cubic root of 2452005200 is about 1348.4674332177.

Adding to 2452005200 its reverse (25002542), we get a palindrome (2477007742).

The spelling of 2452005200 in words is "two billion, four hundred fifty-two million, five thousand, two hundred".