2400220420 has 48 divisors (see below), whose sum is σ = 5455861488. Its totient is φ = 881717760.

The previous prime is 2400220399. The next prime is 2400220481. The reversal of 2400220420 is 240220042.

It can be written as a sum of positive squares in 8 ways, for example, as 4356 + 2400216064 = 66^2 + 48992^2 .

It is a super-2 number, since 2×2400220420² = 11522116129169952800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400220394 and 2400220403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27790 + ... + 74650.

It is an arithmetic number, because the mean of its divisors is an integer number (113663781).

Almost surely, 2^2400220420 is an apocalyptic number.

2400220420 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 2400220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727930744).

2400220420 is an abundant number, since it is smaller than the sum of its proper divisors (3055641068).

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

2400220420 is a wasteful number, since it uses less digits than its factorization.

2400220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47080 (or 47078 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400220420 is about 48992.0444562176. The cubic root of 2400220420 is about 1338.9068868015.

Adding to 2400220420 its reverse (240220042), we get a palindrome (2640440462).

The spelling of 2400220420 in words is "two billion, four hundred million, two hundred twenty thousand, four hundred twenty".