2400200020 has 24 divisors (see below), whose sum is σ = 5053393800. Its totient is φ = 957608832.

The previous prime is 2400200003. The next prime is 2400200071. The reversal of 2400200020 is 200020042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 625600144 + 1774599876 = 25012^2 + 42126^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146475 + ... + 162034.

It is an arithmetic number, because the mean of its divisors is an integer number (210558075).

Almost surely, 2^2400200020 is an apocalyptic number.

2400200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400200020 is an abundant number, since it is smaller than the sum of its proper divisors (2653193780).

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

2400200020 is a wasteful number, since it uses less digits than its factorization.

2400200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308907 (or 308905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2400200020 is about 48991.8362587074. The cubic root of 2400200020 is about 1338.9030935696.

Adding to 2400200020 its reverse (200020042), we get a palindrome (2600220062).

The spelling of 2400200020 in words is "two billion, four hundred million, two hundred thousand, twenty".