2082177109680 has 160 divisors (see below), whose sum is σ = 6587957790144. Its totient is φ = 543824805888.

The previous prime is 2082177109637. The next prime is 2082177109693. The reversal of 2082177109680 is 869017712802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7197592 + ... + 7481288.

Almost surely, 2^{2082177109680} is an apocalyptic number.

2082177109680 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 2082177109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293978895072).

2082177109680 is an abundant number, since it is smaller than the sum of its proper divisors (4505780680464).

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

2082177109680 is a wasteful number, since it uses less digits than its factorization.

2082177109680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284343 (or 284337 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 2082177109680 in words is "two trillion, eighty-two billion, one hundred seventy-seven million, one hundred nine thousand, six hundred eighty".