2464 has 24 divisors (see below), whose sum is σ = 6048. Its totient is φ = 960.

The previous prime is 2459. The next prime is 2467. The reversal of 2464 is 4642.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 6⁴ + 4² + 4⁵ .

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467) by changing a digit.

2464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219 + ... + 229.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

2²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024).

2464 is an abundant number, since it is smaller than the sum of its proper divisors (3584).

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

2464 is a wasteful number, since it uses less digits than its factorization.

2464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 20 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 2464 is about 49.6386945840. The cubic root of 2464 is about 13.5066268334.

It can be divided in two parts, 24 and 64, that added together give a palindrome (88).

The spelling of 2464 in words is "two thousand, four hundred sixty-four".