2212714609920 has 1728 divisors, whose sum is σ = 8879622635520. Its totient is φ = 525007650816.

The previous prime is 2212714609879. The next prime is 2212714609957. The reversal of 2212714609920 is 299064172122.

2212714609920 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 7 + 14 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2212714609920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 9922486929 + ... + 9922487151.

Almost surely, 2^{2212714609920} is an apocalyptic number.

2212714609920 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 2212714609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439811317760).

2212714609920 is an abundant number, since it is smaller than the sum of its proper divisors (6666908025600).

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

2212714609920 is a wasteful number, since it uses less digits than its factorization.

2212714609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2212714609920 in words is "two trillion, two hundred twelve billion, seven hundred fourteen million, six hundred nine thousand, nine hundred twenty".