2420022222400 has 84 divisors (see below), whose sum is σ = 5959391939460. Its totient is φ = 967257088000.

The previous prime is 2420022222361. The next prime is 2420022222403. The reversal of 2420022222400 is 42222200242.

It can be written as a sum of positive squares in 6 ways, for example, as 215652499456 + 2204369722944 = 464384^2 + 1484712^2 .

It is not an unprimeable number, because it can be changed into a prime (2420022222403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1475700 + ... + 2649100.

Almost surely, 2^{2420022222400} is an apocalyptic number.

2420022222400 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 2420022222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979695969730).

2420022222400 is an abundant number, since it is smaller than the sum of its proper divisors (3539369717060).

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

2420022222400 is a wasteful number, since it uses less digits than its factorization.

2420022222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174712 (or 1174697 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2420022222400 its reverse (42222200242), we get a palindrome (2462244422642).

The spelling of 2420022222400 in words is "two trillion, four hundred twenty billion, twenty-two million, two hundred twenty-two thousand, four hundred".