2226915020400 has 480 divisors, whose sum is σ = 8910671966208. Its totient is φ = 463612723200.

The previous prime is 2226915020381. The next prime is 2226915020423. The reversal of 2226915020400 is 40205196222.

2226915020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4175274 + ... + 4678326.

Almost surely, 2^{2226915020400} is an apocalyptic number.

2226915020400 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 2226915020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455335983104).

2226915020400 is an abundant number, since it is smaller than the sum of its proper divisors (6683756945808).

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

2226915020400 is a wasteful number, since it uses less digits than its factorization.

2226915020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503129 (or 503118 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 2226915020400 in words is "two trillion, two hundred twenty-six billion, nine hundred fifteen million, twenty thousand, four hundred".