2400013420 has 48 divisors (see below), whose sum is σ = 6098863680. Its totient is φ = 774457344.

The previous prime is 2400013379. The next prime is 2400013423. The reversal of 2400013420 is 243100042.

It is a junction number, because it is equal to n+sod(n) for n = 2400013394 and 2400013403.

It is not an unprimeable number, because it can be changed into a prime (2400013423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501825 + ... + 506584.

It is an arithmetic number, because the mean of its divisors is an integer number (127059660).

Almost surely, 2^2400013420 is an apocalyptic number.

2400013420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400013420 is an abundant number, since it is smaller than the sum of its proper divisors (3698850260).

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

2400013420 is a wasteful number, since it uses less digits than its factorization.

2400013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008442 (or 1008440 counting only the distinct ones).

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

The square root of 2400013420 is about 48989.9318227735. The cubic root of 2400013420 is about 1338.8683956570.

Adding to 2400013420 its reverse (243100042), we get a palindrome (2643113462).

The spelling of 2400013420 in words is "two billion, four hundred million, thirteen thousand, four hundred twenty".