2138240 has 64 divisors (see below), whose sum is σ = 5526360. Its totient is φ = 786432.

The previous prime is 2138239. The next prime is 2138249. The reversal of 2138240 is 428312.

It can be written as a sum of positive squares in 4 ways, for example, as 1915456 + 222784 = 1384^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2138249) 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, 8192 + ... + 8448.

2^2138240 is an apocalyptic number.

2138240 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 2138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763180).

2138240 is an abundant number, since it is smaller than the sum of its proper divisors (3388120).

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

2138240 is a wasteful number, since it uses less digits than its factorization.

2138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2138240 is about 1462.2722044818. The cubic root of 2138240 is about 128.8305368486.

The spelling of 2138240 in words is "two million, one hundred thirty-eight thousand, two hundred forty".