2080216232640 has 1344 divisors, whose sum is σ = 9263753920512. Its totient is φ = 416644300800.

The previous prime is 2080216232629. The next prime is 2080216232681. The reversal of 2080216232640 is 462326120802.

2080216232640 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 2 + 1 + 6 + 2 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2080216232595 and 2080216232604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 430595025 + ... + 430599855.

It is an arithmetic number, because the mean of its divisors is an integer number (6892674048).

Almost surely, 2^{2080216232640} is an apocalyptic number.

2080216232640 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 2080216232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631876960256).

2080216232640 is an abundant number, since it is smaller than the sum of its proper divisors (7183537687872).

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

2080216232640 is a wasteful number, since it uses less digits than its factorization.

2080216232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2080216232640 in words is "two trillion, eighty billion, two hundred sixteen million, two hundred thirty-two thousand, six hundred forty".