2460800 has 48 divisors (see below), whose sum is σ = 6086850. Its totient is φ = 983040.

The previous prime is 2460797. The next prime is 2460803. The reversal of 2460800 is 80642.

It is an interprime number because it is at equal distance from previous prime (2460797) and next prime (2460803).

It can be written as a sum of positive squares in 3 ways, for example, as 1700416 + 760384 = 1304^2 + 872^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2460803) 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 5 ways as a sum of consecutive naturals, for example, 2816 + ... + 3584.

2^2460800 is an apocalyptic number.

2460800 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 2460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043425).

2460800 is an abundant number, since it is smaller than the sum of its proper divisors (3626050).

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

2460800 is an equidigital number, since it uses as much as digits as its factorization.

2460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2460800 is about 1568.6937240902. The cubic root of 2460800 is about 135.0077727578.

It can be divided in two parts, 2 and 460800, that multiplied together give a square (921600 = 960²).

The spelling of 2460800 in words is "two million, four hundred sixty thousand, eight hundred".