1881169680 has 320 divisors, whose sum is σ = 6884559360. Its totient is φ = 420446208.

The previous prime is 1881169673. The next prime is 1881169681. The reversal of 1881169680 is 869611881.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1881169681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1537549 + ... + 1538771.

It is an arithmetic number, because the mean of its divisors is an integer number (21514248).

Almost surely, 2^1881169680 is an apocalyptic number.

1881169680 is a gapful number since it is divisible by the number (10) 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 1881169680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442279680).

1881169680 is an abundant number, since it is smaller than the sum of its proper divisors (5003389680).

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

1881169680 is a wasteful number, since it uses less digits than its factorization.

1881169680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 1881169680 is about 43372.4530087935. The cubic root of 1881169680 is about 1234.4570665557.

The spelling of 1881169680 in words is "one billion, eight hundred eighty-one million, one hundred sixty-nine thousand, six hundred eighty".