1882414080 has 528 divisors, whose sum is σ = 7242449760. Its totient is φ = 467140608.

The previous prime is 1882414073. The next prime is 1882414081. The reversal of 1882414080 is 804142881.

It is a happy number.

1882414080 is a `hidden beast` number, since 1 + 8 + 8 + 241 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882414081) 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 47 ways as a sum of consecutive naturals, for example, 21150676 + ... + 21150764.

Almost surely, 2^1882414080 is an apocalyptic number.

1882414080 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 1882414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621224880).

1882414080 is an abundant number, since it is smaller than the sum of its proper divisors (5360035680).

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

1882414080 is an equidigital number, since it uses as much as digits as its factorization.

1882414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1882414080 is about 43386.7961481371. The cubic root of 1882414080 is about 1234.7292057093.

The spelling of 1882414080 in words is "one billion, eight hundred eighty-two million, four hundred fourteen thousand, eighty".