2604400020 has 48 divisors (see below), whose sum is σ = 8102579520. Its totient is φ = 694506528.

The previous prime is 2604399971. The next prime is 2604400021. The reversal of 2604400020 is 200044062.

2604400020 is a `hidden beast` number, since 2 + 604 + 40 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2604399966 and 2604400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604400021) 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, 2410942 + ... + 2412021.

It is an arithmetic number, because the mean of its divisors is an integer number (168803740).

Almost surely, 2^2604400020 is an apocalyptic number.

2604400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2604400020 is an abundant number, since it is smaller than the sum of its proper divisors (5498179500).

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

2604400020 is a wasteful number, since it uses less digits than its factorization.

2604400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822981 (or 4822973 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2604400020 is about 51033.3226431515. The cubic root of 2604400020 is about 1375.8441133176.

Adding to 2604400020 its reverse (200044062), we get a palindrome (2804444082).

The spelling of 2604400020 in words is "two billion, six hundred four million, four hundred thousand, twenty".