1842531840 has 640 divisors, whose sum is σ = 7306675200. Its totient is φ = 437944320.

The previous prime is 1842531833. The next prime is 1842531851. The reversal of 1842531840 is 481352481.

1842531840 is a `hidden beast` number, since 1 + 8 + 42 + 531 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 1842531795 and 1842531804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30205410 + ... + 30205470.

It is an arithmetic number, because the mean of its divisors is an integer number (11416680).

Almost surely, 2^1842531840 is an apocalyptic number.

1842531840 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 1842531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653337600).

1842531840 is an abundant number, since it is smaller than the sum of its proper divisors (5464143360).

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

1842531840 is a wasteful number, since it uses less digits than its factorization.

1842531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1842531840 is about 42924.7229461065. The cubic root of 1842531840 is about 1225.9469207673.

The spelling of 1842531840 in words is "one billion, eight hundred forty-two million, five hundred thirty-one thousand, eight hundred forty".