2481864 has 128 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 599040.

The previous prime is 2481863. The next prime is 2481877. The reversal of 2481864 is 4681842.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31377 + ... + 31455.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

2^2481864 is an apocalyptic number.

2481864 is a gapful number since it is divisible by the number (24) 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 2481864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

2481864 is an abundant number, since it is smaller than the sum of its proper divisors (5812536).

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

2481864 is a wasteful number, since it uses less digits than its factorization.

2481864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 2481864 is about 1575.3932842310. The cubic root of 2481864 is about 135.3918928198.

It can be divided in two parts, 248 and 1864, that added together give a palindrome (2112).

The spelling of 2481864 in words is "two million, four hundred eighty-one thousand, eight hundred sixty-four".