2241322290400 has 72 divisors (see below), whose sum is σ = 5485006905840. Its totient is φ = 894336783360.

The previous prime is 2241322290343. The next prime is 2241322290401. The reversal of 2241322290400 is 40922231422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241322290401) 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, 3097804 + ... + 3752203.

It is an arithmetic number, because the mean of its divisors is an integer number (76180651470).

Almost surely, 2^{2241322290400} is an apocalyptic number.

2241322290400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241322290400 is an abundant number, since it is smaller than the sum of its proper divisors (3243684615440).

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

2241322290400 is a wasteful number, since it uses less digits than its factorization.

2241322290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850436 (or 6850423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 2241322290400 in words is "two trillion, two hundred forty-one billion, three hundred twenty-two million, two hundred ninety thousand, four hundred".