2453875200 has 720 divisors, whose sum is σ = 10686012480. Its totient is φ = 524943360.

The previous prime is 2453875139. The next prime is 2453875231. The reversal of 2453875200 is 25783542.

2453875200 is a `hidden beast` number, since 2 + 4 + 53 + 87 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13708711 + ... + 13708889.

It is an arithmetic number, because the mean of its divisors is an integer number (14841684).

Almost surely, 2^2453875200 is an apocalyptic number.

2453875200 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 2453875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343006240).

2453875200 is an abundant number, since it is smaller than the sum of its proper divisors (8232137280).

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

2453875200 is a wasteful number, since it uses less digits than its factorization.

2453875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2453875200 is about 49536.6046474726. The cubic root of 2453875200 is about 1348.8101450164.

The spelling of 2453875200 in words is "two billion, four hundred fifty-three million, eight hundred seventy-five thousand, two hundred".