2004800625 has 75 divisors (see below), whose sum is σ = 3761234301. Its totient is φ = 1063854000.

The previous prime is 2004800591. The next prime is 2004800647. The reversal of 2004800625 is 5260084002.

The square root of 2004800625 is 44775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 157176369 + 1847624256 = 12537^2 + 42984^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 2004800625 - 2⁹ = 2004800113 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 10074276 + ... + 10074474.

Almost surely, 2^2004800625 is an apocalyptic number.

2004800625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2004800625 is the 44775-th square number.

2004800625 is the 22388-th centered octagonal number.

It is an amenable number.

2004800625 is a deficient number, since it is larger than the sum of its proper divisors (1756433676).

2004800625 is an frugal number, since it uses more digits than its factorization.

2004800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 207 counting only the distinct ones).

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

The cubic root of 2004800625 is about 1260.9283124909.

Adding to 2004800625 its reverse (5260084002), we get a palindrome (7264884627).

The spelling of 2004800625 in words is "two billion, four million, eight hundred thousand, six hundred twenty-five".