1881820416 has 144 divisors (see below), whose sum is σ = 5755904000. Its totient is φ = 534657024.

The previous prime is 1881820397. The next prime is 1881820427. The reversal of 1881820416 is 6140281881.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068945 + ... + 1070703.

Almost surely, 2^1881820416 is an apocalyptic number.

1881820416 is a gapful number since it is divisible by the number (16) 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 1881820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877952000).

1881820416 is an abundant number, since it is smaller than the sum of its proper divisors (3874083584).

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

1881820416 is a wasteful number, since it uses less digits than its factorization.

1881820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 1881820416 is about 43379.9540801970. The cubic root of 1881820416 is about 1234.5993916657.

The spelling of 1881820416 in words is "one billion, eight hundred eighty-one million, eight hundred twenty thousand, four hundred sixteen".