2825604960 has 48 divisors (see below), whose sum is σ = 8900657136. Its totient is φ = 753494528.

The previous prime is 2825604959. The next prime is 2825604967. The reversal of 2825604960 is 694065282.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825604967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2942859 + ... + 2943818.

It is an arithmetic number, because the mean of its divisors is an integer number (185430357).

Almost surely, 2^2825604960 is an apocalyptic number.

2825604960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2825604960 is an abundant number, since it is smaller than the sum of its proper divisors (6075052176).

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

2825604960 is a wasteful number, since it uses less digits than its factorization.

2825604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886695 (or 5886687 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2825604960 is about 53156.4197439971. The cubic root of 2825604960 is about 1413.7430450555.

The spelling of 2825604960 in words is "two billion, eight hundred twenty-five million, six hundred four thousand, nine hundred sixty".