2212610629824 has 126 divisors (see below), whose sum is σ = 7377485515764. Its totient is φ = 632174457600.

The previous prime is 2212610629811. The next prime is 2212610629829. The reversal of 2212610629824 is 4289260162122.

2212610629824 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 6 + 10 + 629 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 2212610629824.

It is not an unprimeable number, because it can be changed into a prime (2212610629829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39169102 + ... + 39225549.

Almost surely, 2^{2212610629824} is an apocalyptic number.

2212610629824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212610629824 is an abundant number, since it is smaller than the sum of its proper divisors (5164874885940).

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

2212610629824 is a wasteful number, since it uses less digits than its factorization.

2212610629824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78394683 (or 78394663 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2212610629824 in words is "two trillion, two hundred twelve billion, six hundred ten million, six hundred twenty-nine thousand, eight hundred twenty-four".