2162985080256 has 896 divisors, whose sum is σ = 8583667384320. Its totient is φ = 515803852800.

The previous prime is 2162985080237. The next prime is 2162985080257. The reversal of 2162985080256 is 6520805892612.

2162985080256 is a `hidden beast` number, since 2 + 1 + 629 + 8 + 5 + 0 + 8 + 0 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×2162985080256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162985080257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 330374775 + ... + 330381321.

It is an arithmetic number, because the mean of its divisors is an integer number (9579985920).

Almost surely, 2^{2162985080256} is an apocalyptic number.

2162985080256 is a gapful number since it is divisible by the number (26) 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 2162985080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291833692160).

2162985080256 is an abundant number, since it is smaller than the sum of its proper divisors (6420682304064).

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

2162985080256 is a wasteful number, since it uses less digits than its factorization.

2162985080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 2162985080256 in words is "two trillion, one hundred sixty-two billion, nine hundred eighty-five million, eighty thousand, two hundred fifty-six".