2545324135200 has 432 divisors, whose sum is σ = 11190172908096. Its totient is φ = 528898406400.

The previous prime is 2545324135163. The next prime is 2545324135201. The reversal of 2545324135200 is 25314235452.

2545324135200 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 32 + 413 + 5 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2545324135201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1741167 + ... + 2849966.

It is an arithmetic number, because the mean of its divisors is an integer number (25903178028).

Almost surely, 2^{2545324135200} is an apocalyptic number.

2545324135200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2545324135200 is an abundant number, since it is smaller than the sum of its proper divisors (8644848772896).

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

2545324135200 is a wasteful number, since it uses less digits than its factorization.

2545324135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591177 (or 4591161 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2545324135200 in words is "two trillion, five hundred forty-five billion, three hundred twenty-four million, one hundred thirty-five thousand, two hundred".