2420400 has 60 divisors (see below), whose sum is σ = 7757192. Its totient is φ = 645120.

The previous prime is 2420399. The next prime is 2420417. The reversal of 2420400 is 40242.

2420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192 + ... + 2208.

2^2420400 is an apocalyptic number.

2420400 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 2420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878596).

2420400 is an abundant number, since it is smaller than the sum of its proper divisors (5336792).

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

2420400 is a wasteful number, since it uses less digits than its factorization.

2420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2027 counting only the distinct ones).

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

The square root of 2420400 is about 1555.7634781676. The cubic root of 2420400 is about 134.2648655899.

Adding to 2420400 its reverse (40242), we get a palindrome (2460642).

The spelling of 2420400 in words is "two million, four hundred twenty thousand, four hundred".