2162054632668 has 192 divisors, whose sum is σ = 6146118451200. Its totient is φ = 590597784000.

The previous prime is 2162054632663. The next prime is 2162054632669. The reversal of 2162054632668 is 8662364502612.

It is a self number, because there is not a number n which added to its sum of digits gives 2162054632668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162054632663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10488393 + ... + 10692543.

It is an arithmetic number, because the mean of its divisors is an integer number (32011033600).

Almost surely, 2^{2162054632668} is an apocalyptic number.

2162054632668 is a gapful number since it is divisible by the number (28) 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 2162054632668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073059225600).

2162054632668 is an abundant number, since it is smaller than the sum of its proper divisors (3984063818532).

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

2162054632668 is a wasteful number, since it uses less digits than its factorization.

2162054632668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204293 (or 204277 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 2162054632668 in words is "two trillion, one hundred sixty-two billion, fifty-four million, six hundred thirty-two thousand, six hundred sixty-eight".