2004352286625 has 384 divisors, whose sum is σ = 4222951649280. Its totient is φ = 931549248000.

The previous prime is 2004352286621. The next prime is 2004352286663. The reversal of 2004352286625 is 5266822534002.

2004352286625 is a `hidden beast` number, since 2 + 0 + 0 + 43 + 522 + 8 + 66 + 25 = 666.

It is not a de Polignac number, because 2004352286625 - 2² = 2004352286621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2004352286621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2514870727 + ... + 2514871523.

It is an arithmetic number, because the mean of its divisors is an integer number (10997269920).

Almost surely, 2^{2004352286625} is an apocalyptic number.

2004352286625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2004352286625 is an abundant number, since it is smaller than the sum of its proper divisors (2218599362655).

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

2004352286625 is a wasteful number, since it uses less digits than its factorization.

2004352286625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2004352286625 in words is "two trillion, four billion, three hundred fifty-two million, two hundred eighty-six thousand, six hundred twenty-five".