2500459891200 has 720 divisors, whose sum is σ = 9303717398976. Its totient is φ = 665078169600.

The previous prime is 2500459891141. The next prime is 2500459891273. The reversal of 2500459891200 is 21989540052.

It is a happy number.

2500459891200 is a `hidden beast` number, since 2 + 50 + 0 + 4 + 598 + 9 + 1 + 2 + 0 + 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1620517629 + ... + 1620519171.

Almost surely, 2^{2500459891200} is an apocalyptic number.

2500459891200 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 2500459891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651858699488).

2500459891200 is an abundant number, since it is smaller than the sum of its proper divisors (6803257507776).

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

2500459891200 is an equidigital number, since it uses as much as digits as its factorization.

2500459891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 2500459891200 in words is "two trillion, five hundred billion, four hundred fifty-nine million, eight hundred ninety-one thousand, two hundred".