2505760 has 24 divisors (see below), whose sum is σ = 5920236. Its totient is φ = 1002240.

The previous prime is 2505743. The next prime is 2505773. The reversal of 2505760 is 675052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 183184 = 1524^2 + 428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7671 + ... + 7990.

2^2505760 is an apocalyptic number.

2505760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505760 is an abundant number, since it is smaller than the sum of its proper divisors (3414476).

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

2505760 is a wasteful number, since it uses less digits than its factorization.

2505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15676 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 2505760 is about 1582.9592540555. The cubic root of 2505760 is about 135.8250345171.

It can be divided in two parts, 250 and 5760, that multiplied together give a square (1440000 = 1200²).

The spelling of 2505760 in words is "two million, five hundred five thousand, seven hundred sixty".