2081870981280 has 480 divisors, whose sum is σ = 7485034677120. Its totient is φ = 544798586880.

The previous prime is 2081870981279. The next prime is 2081870981297. The reversal of 2081870981280 is 821890781802.

2081870981280 is a `hidden beast` number, since 208 + 1 + 8 + 70 + 98 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2081870981280² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369188701 + ... + 369194339.

It is an arithmetic number, because the mean of its divisors is an integer number (15593822244).

Almost surely, 2^{2081870981280} is an apocalyptic number.

2081870981280 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 2081870981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742517338560).

2081870981280 is an abundant number, since it is smaller than the sum of its proper divisors (5403163695840).

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

2081870981280 is a wasteful number, since it uses less digits than its factorization.

2081870981280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 2081870981280 in words is "two trillion, eighty-one billion, eight hundred seventy million, nine hundred eighty-one thousand, two hundred eighty".