1842671040 has 224 divisors, whose sum is σ = 6867899904. Its totient is φ = 409743360.

The previous prime is 1842671029. The next prime is 1842671099. The reversal of 1842671040 is 401762481.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1842670992 and 1842671010.

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 31 ways as a sum of consecutive naturals, for example, 244935 + ... + 252345.

Almost surely, 2^1842671040 is an apocalyptic number.

1842671040 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 1842671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433949952).

1842671040 is an abundant number, since it is smaller than the sum of its proper divisors (5025228864).

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

1842671040 is a wasteful number, since it uses less digits than its factorization.

1842671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1842671040 is about 42926.3443586803. The cubic root of 1842671040 is about 1225.9777926923.

The spelling of 1842671040 in words is "one billion, eight hundred forty-two million, six hundred seventy-one thousand, forty".