2640160 has 48 divisors (see below), whose sum is σ = 6463800. Its totient is φ = 1017856.

The previous prime is 2640139. The next prime is 2640163. The reversal of 2640160 is 610462.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 929296 = 1308^2 + 964^2 .

It is not an unprimeable number, because it can be changed into a prime (2640163) 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, 4356 + ... + 4924.

2^2640160 is an apocalyptic number.

2640160 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 2640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231900).

2640160 is an abundant number, since it is smaller than the sum of its proper divisors (3823640).

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

2640160 is a wasteful number, since it uses less digits than its factorization.

2640160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2640160 is about 1624.8569167776. The cubic root of 2640160 is about 138.2112566340.

It can be divided in two parts, 26 and 40160, that added together give a triangular number (40186 = T₂₈₃).

The spelling of 2640160 in words is "two million, six hundred forty thousand, one hundred sixty".