2581920 has 144 divisors (see below), whose sum is σ = 9670752. Its totient is φ = 622080.

The previous prime is 2581919. The next prime is 2581921. The reversal of 2581920 is 291852.

It is an interprime number because it is at equal distance from previous prime (2581919) and next prime (2581921).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2581921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15759 + ... + 15921.

It is an arithmetic number, because the mean of its divisors is an integer number (67158).

2^2581920 is an apocalyptic number.

2581920 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 2581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835376).

2581920 is an abundant number, since it is smaller than the sum of its proper divisors (7088832).

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

2581920 is a wasteful number, since it uses less digits than its factorization.

2581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2581920 is about 1606.8353991620. The cubic root of 2581920 is about 137.1874111193.

The spelling of 2581920 in words is "two million, five hundred eighty-one thousand, nine hundred twenty".