2212916392960 has 1584 divisors, whose sum is σ = 7317845519040. Its totient is φ = 637646929920.

The previous prime is 2212916392949. The next prime is 2212916393021. The reversal of 2212916392960 is 692936192122.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2212916392898 and 2212916392907.

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 143 ways as a sum of consecutive naturals, for example, 33028602847 + ... + 33028602913.

Almost surely, 2^{2212916392960} is an apocalyptic number.

2212916392960 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 2212916392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658922759520).

2212916392960 is an abundant number, since it is smaller than the sum of its proper divisors (5104929126080).

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

2212916392960 is a wasteful number, since it uses less digits than its factorization.

2212916392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 2212916392960 in words is "two trillion, two hundred twelve billion, nine hundred sixteen million, three hundred ninety-two thousand, nine hundred sixty".