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2464 = 25711
BaseRepresentation
bin100110100000
310101021
4212200
534324
615224
710120
oct4640
93337
102464
111940
121514
131177
14c80
15ae4
hex9a0

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

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.

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

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464