2420211011200 has 96 divisors (see below), whose sum is σ = 6330364568460. Its totient is φ = 911138242560.

The previous prime is 2420211011189. The next prime is 2420211011203. The reversal of 2420211011200 is 21101120242.

2420211011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1988709166656 + 431501844544 = 1410216^2 + 656888^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2420211011203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22190187 + ... + 22298986.

Almost surely, 2^{2420211011200} is an apocalyptic number.

2420211011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420211011200 is an abundant number, since it is smaller than the sum of its proper divisors (3910153557260).

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

2420211011200 is a wasteful number, since it uses less digits than its factorization.

2420211011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44489214 (or 44489197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2420211011200 its reverse (21101120242), we get a palindrome (2441312131442).

The spelling of 2420211011200 in words is "two trillion, four hundred twenty billion, two hundred eleven million, eleven thousand, two hundred".