2464000 has 144 divisors (see below), whose sum is σ = 7652736. Its totient is φ = 768000.

The previous prime is 2463991. The next prime is 2464003. The reversal of 2464000 is 4642.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2464003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223995 + ... + 224005.

It is an arithmetic number, because the mean of its divisors is an integer number (53144).

2^2464000 is an apocalyptic number.

2464000 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 2464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826368).

2464000 is an abundant number, since it is smaller than the sum of its proper divisors (5188736).

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

2464000 is an equidigital number, since it uses as much as digits as its factorization.

2464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 25 counting only the distinct ones).

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

The square root of 2464000 is about 1569.7133496279. The cubic root of 2464000 is about 135.0662683339.

Adding to 2464000 its reverse (4642), we get a palindrome (2468642).

The spelling of 2464000 in words is "two million, four hundred sixty-four thousand".