2562560 has 160 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 737280.

The previous prime is 2562559. The next prime is 2562589. The reversal of 2562560 is 652652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197114 + ... + 197126.

2^2562560 is an apocalyptic number.

2562560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

2562560 is an abundant number, since it is smaller than the sum of its proper divisors (5686912).

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

2562560 is a wasteful number, since it uses less digits than its factorization.

2562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2562560 is about 1600.7998000999. The cubic root of 2562560 is about 136.8436599014.

The spelling of 2562560 in words is "two million, five hundred sixty-two thousand, five hundred sixty".