2400020000200 has 24 divisors (see below), whose sum is σ = 5580046500930. Its totient is φ = 960008000000.

The previous prime is 2400020000197. The next prime is 2400020000201. The reversal of 2400020000200 is 20000200042.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1777950226404 + 622069773796 = 1333398^2 + 788714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2400020000201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6000049801 + ... + 6000050200.

Almost surely, 2^{2400020000200} is an apocalyptic number.

2400020000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400020000200 is an abundant number, since it is smaller than the sum of its proper divisors (3180026500730).

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

2400020000200 is a wasteful number, since it uses less digits than its factorization.

2400020000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000100017 (or 12000100008 counting only the distinct ones).

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

Adding to 2400020000200 its reverse (20000200042), we get a palindrome (2420020200242).

The spelling of 2400020000200 in words is "two trillion, four hundred billion, twenty million, two hundred", and thus it is an aban number.