2221020350400 has 168 divisors, whose sum is σ = 7290648725760. Its totient is φ = 591959075840.

The previous prime is 2221020350321. The next prime is 2221020350413. The reversal of 2221020350400 is 40530201222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9032281 + ... + 9274919.

Almost surely, 2^{2221020350400} is an apocalyptic number.

2221020350400 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 2221020350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645324362880).

2221020350400 is an abundant number, since it is smaller than the sum of its proper divisors (5069628375360).

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

2221020350400 is a wasteful number, since it uses less digits than its factorization.

2221020350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244571 (or 244556 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 2221020350400 its reverse (40530201222), we get a palindrome (2261550551622).

The spelling of 2221020350400 in words is "two trillion, two hundred twenty-one billion, twenty million, three hundred fifty thousand, four hundred".