1882381200 has 240 divisors, whose sum is σ = 6924735360. Its totient is φ = 428175360.

The previous prime is 1882381199. The next prime is 1882381211. The reversal of 1882381200 is 21832881.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1882381200² = 7086717964226880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2326396 + ... + 2327204.

It is an arithmetic number, because the mean of its divisors is an integer number (28853064).

Almost surely, 2^1882381200 is an apocalyptic number.

1882381200 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 1882381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462367680).

1882381200 is an abundant number, since it is smaller than the sum of its proper divisors (5042354160).

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

1882381200 is a wasteful number, since it uses less digits than its factorization.

1882381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1882381200 is about 43386.4172293588. The cubic root of 1882381200 is about 1234.7220166901.

The spelling of 1882381200 in words is "one billion, eight hundred eighty-two million, three hundred eighty-one thousand, two hundred".