2082777661440 has 1632 divisors, whose sum is σ = 8833136832000. Its totient is φ = 453173575680.

The previous prime is 2082777661417. The next prime is 2082777661441. The reversal of 2082777661440 is 441667772802.

2082777661440 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 77 + 76 + 61 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (2082777661441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29334896605 + ... + 29334896675.

Almost surely, 2^{2082777661440} is an apocalyptic number.

2082777661440 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 2082777661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416568416000).

2082777661440 is an abundant number, since it is smaller than the sum of its proper divisors (6750359170560).

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

2082777661440 is an frugal number, since it uses more digits than its factorization.

2082777661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 2082777661440 in words is "two trillion, eighty-two billion, seven hundred seventy-seven million, six hundred sixty-one thousand, four hundred forty".