2212968486960 has 1440 divisors, whose sum is σ = 9977852626560. Its totient is φ = 428731269120.

The previous prime is 2212968486929. The next prime is 2212968486997. The reversal of 2212968486960 is 696848692122.

2212968486960 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 9 + 68 + 486 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1171501696 + ... + 1171503584.

It is an arithmetic number, because the mean of its divisors is an integer number (6929064324).

Almost surely, 2^{2212968486960} is an apocalyptic number.

2212968486960 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 2212968486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988926313280).

2212968486960 is an abundant number, since it is smaller than the sum of its proper divisors (7764884139600).

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

2212968486960 is a wasteful number, since it uses less digits than its factorization.

2212968486960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 2212968486960 in words is "two trillion, two hundred twelve billion, nine hundred sixty-eight million, four hundred eighty-six thousand, nine hundred sixty".