2400420 has 48 divisors (see below), whose sum is σ = 7334208. Its totient is φ = 581760.

The previous prime is 2400413. The next prime is 2400469. The reversal of 2400420 is 240042.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2400396 and 2400405.

It is an unprimeable number.

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, 1159 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (152796).

2^2400420 is an apocalyptic number.

2400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400420 is an abundant number, since it is smaller than the sum of its proper divisors (4933788).

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

2400420 is a wasteful number, since it uses less digits than its factorization.

2400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2400420 is about 1549.3288869701. The cubic root of 2400420 is about 133.8943996120.

Adding to 2400420 its reverse (240042), we get a palindrome (2640462).

The spelling of 2400420 in words is "two million, four hundred thousand, four hundred twenty".