2266141430400 has 768 divisors, whose sum is σ = 8005212633600. Its totient is φ = 561796300800.

The previous prime is 2266141430351. The next prime is 2266141430431. The reversal of 2266141430400 is 40341416622.

It is a happy 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, 2740194787 + ... + 2740195613.

It is an arithmetic number, because the mean of its divisors is an integer number (10423453950).

Almost surely, 2^{2266141430400} is an apocalyptic number.

2266141430400 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 2266141430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002606316800).

2266141430400 is an abundant number, since it is smaller than the sum of its proper divisors (5739071203200).

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

2266141430400 is a wasteful number, since it uses less digits than its factorization.

2266141430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 2266141430400 in words is "two trillion, two hundred sixty-six billion, one hundred forty-one million, four hundred thirty thousand, four hundred".