2138560 has 56 divisors (see below), whose sum is σ = 5248656. Its totient is φ = 829440.

The previous prime is 2138551. The next prime is 2138569. The reversal of 2138560 is 658312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2138551) and next prime (2138569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138569) 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, 13039 + ... + 13201.

It is an arithmetic number, because the mean of its divisors is an integer number (93726).

2^2138560 is an apocalyptic number.

2138560 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 2138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624328).

2138560 is an abundant number, since it is smaller than the sum of its proper divisors (3110096).

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

2138560 is a wasteful number, since it uses less digits than its factorization.

2138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2138560 is about 1462.3816191405. The cubic root of 2138560 is about 128.8369632734.

The spelling of 2138560 in words is "two million, one hundred thirty-eight thousand, five hundred sixty".