2081123640288 has 864 divisors, whose sum is σ = 8163731826432. Its totient is φ = 508727070720.

The previous prime is 2081123640247. The next prime is 2081123640289. The reversal of 2081123640288 is 8820463211802.

2081123640288 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 1 + 2 + 364 + 0 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081123640289) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111957331 + ... + 111975917.

It is an arithmetic number, because the mean of its divisors is an integer number (9448763688).

Almost surely, 2^{2081123640288} is an apocalyptic number.

2081123640288 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 2081123640288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081865913216).

2081123640288 is an abundant number, since it is smaller than the sum of its proper divisors (6082608186144).

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

2081123640288 is a wasteful number, since it uses less digits than its factorization.

2081123640288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18658 (or 18627 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2081123640288 in words is "two trillion, eighty-one billion, one hundred twenty-three million, six hundred forty thousand, two hundred eighty-eight".