2440400220 has 72 divisors (see below), whose sum is σ = 7503992496. Its totient is φ = 641855232.

The previous prime is 2440400219. The next prime is 2440400227. The reversal of 2440400220 is 220040442.

2440400220 is a `hidden beast` number, since 2 + 4 + 40 + 400 + 220 = 666.

2440400220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2440400193 and 2440400202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440400227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79722 + ... + 106001.

It is an arithmetic number, because the mean of its divisors is an integer number (104222118).

Almost surely, 2^2440400220 is an apocalyptic number.

2440400220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440400220 is an abundant number, since it is smaller than the sum of its proper divisors (5063592276).

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

2440400220 is a wasteful number, since it uses less digits than its factorization.

2440400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185811 (or 185806 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2440400220 is about 49400.4070833429. The cubic root of 2440400220 is about 1346.3367021800.

Adding to 2440400220 its reverse (220040442), we get a palindrome (2660440662).

The spelling of 2440400220 in words is "two billion, four hundred forty million, four hundred thousand, two hundred twenty".