2643960 has 64 divisors (see below), whose sum is σ = 8657280. Its totient is φ = 640640.

The previous prime is 2643947. The next prime is 2643961. The reversal of 2643960 is 693462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 2¹⁹ + 6² + 4⁹ + 3¹¹ + 9³ + 6⁸ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319 + ... + 2321.

It is an arithmetic number, because the mean of its divisors is an integer number (135270).

2^2643960 is an apocalyptic number.

2643960 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 2643960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328640).

2643960 is an abundant number, since it is smaller than the sum of its proper divisors (6013320).

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

2643960 is a wasteful number, since it uses less digits than its factorization.

2643960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2643960 is about 1626.0258300531. The cubic root of 2643960 is about 138.2775343092.

It can be divided in two parts, 264 and 3960, that added together give a palindrome (4224).

The spelling of 2643960 in words is "two million, six hundred forty-three thousand, nine hundred sixty".