2162758241280 has 2816 divisors, whose sum is σ = 9634810429440. Its totient is φ = 401316249600.

The previous prime is 2162758241263. The next prime is 2162758241389. The reversal of 2162758241280 is 821428572612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30461383645 + ... + 30461383715.

Almost surely, 2^{2162758241280} is an apocalyptic number.

2162758241280 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 2162758241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817405214720).

2162758241280 is an abundant number, since it is smaller than the sum of its proper divisors (7472052188160).

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

2162758241280 is a wasteful number, since it uses less digits than its factorization.

2162758241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 2162758241280 in words is "two trillion, one hundred sixty-two billion, seven hundred fifty-eight million, two hundred forty-one thousand, two hundred eighty".