2216292265200 has 240 divisors, whose sum is σ = 7648963872480. Its totient is φ = 545311703040.

The previous prime is 2216292265169. The next prime is 2216292265219. The reversal of 2216292265200 is 25622926122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37301116 + ... + 37360484.

It is an arithmetic number, because the mean of its divisors is an integer number (31870682802).

Almost surely, 2^{2216292265200} is an apocalyptic number.

2216292265200 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 2216292265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824481936240).

2216292265200 is an abundant number, since it is smaller than the sum of its proper divisors (5432671607280).

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

2216292265200 is a wasteful number, since it uses less digits than its factorization.

2216292265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61796 (or 61785 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 2216292265200 in words is "two trillion, two hundred sixteen billion, two hundred ninety-two million, two hundred sixty-five thousand, two hundred".