1882890240 has 448 divisors, whose sum is σ = 7549286400. Its totient is φ = 389283840.

The previous prime is 1882890211. The next prime is 1882890257. The reversal of 1882890240 is 420982881.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1882890192 and 1882890201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461661 + ... + 9461859.

Almost surely, 2^1882890240 is an apocalyptic number.

1882890240 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 1882890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774643200).

1882890240 is an abundant number, since it is smaller than the sum of its proper divisors (5666396160).

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

1882890240 is a wasteful number, since it uses less digits than its factorization.

1882890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1882890240 is about 43392.2831849166. The cubic root of 1882890240 is about 1234.8333059175.

The spelling of 1882890240 in words is "one billion, eight hundred eighty-two million, eight hundred ninety thousand, two hundred forty".