2817661680 has 160 divisors (see below), whose sum is σ = 9814996800. Its totient is φ = 742883328.

The previous prime is 2817661607. The next prime is 2817661727. The reversal of 2817661680 is 861667182.

It is a happy number.

2817661680 is a `hidden beast` number, since 28 + 1 + 7 + 6 + 616 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184912 + ... + 199568.

It is an arithmetic number, because the mean of its divisors is an integer number (61343730).

Almost surely, 2^2817661680 is an apocalyptic number.

2817661680 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 2817661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907498400).

2817661680 is an abundant number, since it is smaller than the sum of its proper divisors (6997335120).

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

2817661680 is a wasteful number, since it uses less digits than its factorization.

2817661680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2817661680 is about 53081.6510670118. The cubic root of 2817661680 is about 1412.4170403674.

The spelling of 2817661680 in words is "two billion, eight hundred seventeen million, six hundred sixty-one thousand, six hundred eighty".