2453212800 has 288 divisors, whose sum is σ = 8849299680. Its totient is φ = 647055360.

The previous prime is 2453212793. The next prime is 2453212837. The reversal of 2453212800 is 82123542.

2453212800 is a `hidden beast` number, since 2 + 4 + 532 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 2965987 + ... + 2966813.

It is an arithmetic number, because the mean of its divisors is an integer number (30726735).

Almost surely, 2^2453212800 is an apocalyptic number.

2453212800 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 2453212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424649840).

2453212800 is an abundant number, since it is smaller than the sum of its proper divisors (6396086880).

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

2453212800 is a wasteful number, since it uses less digits than its factorization.

2453212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2453212800 is about 49529.9182313074. The cubic root of 2453212800 is about 1348.6887679873.

The spelling of 2453212800 in words is "two billion, four hundred fifty-three million, two hundred twelve thousand, eight hundred".