2002560 has 128 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 454656.

The previous prime is 2002547. The next prime is 2002577. The reversal of 2002560 is 652002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13366 + ... + 13514.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

2^2002560 is an apocalyptic number.

2002560 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 2002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2002560 is an abundant number, since it is smaller than the sum of its proper divisors (5341440).

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

2002560 is a wasteful number, since it uses less digits than its factorization.

2002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2002560 is about 1415.1183696073. The cubic root of 2002560 is about 126.0458387011.

Adding to 2002560 its reverse (652002), we get a palindrome (2654562).

It can be divided in two parts, 200 and 2560, that multiplied together give a cube (512000 = 80³).

The spelling of 2002560 in words is "two million, two thousand, five hundred sixty".