1842771840 has 512 divisors, whose sum is σ = 7402752000. Its totient is φ = 379551744.

The previous prime is 1842771823. The next prime is 1842771851. The reversal of 1842771840 is 481772481.

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 = 1842771792 and 1842771801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9260061 + ... + 9260259.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2^1842771840 is an apocalyptic number.

1842771840 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 1842771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376000).

1842771840 is an abundant number, since it is smaller than the sum of its proper divisors (5559980160).

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

1842771840 is a wasteful number, since it uses less digits than its factorization.

1842771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 1842771840 is about 42927.5184467959. The cubic root of 1842771840 is about 1226.0001472536. Note that the first 3 decimals are identical.

The spelling of 1842771840 in words is "one billion, eight hundred forty-two million, seven hundred seventy-one thousand, eight hundred forty".