1842858240 has 288 divisors, whose sum is σ = 6173991936. Its totient is φ = 467927040.

The previous prime is 1842858239. The next prime is 1842858253. The reversal of 1842858240 is 428582481.

It is a super-2 number, since 2×1842858240² = 6792252985471795200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1842858192 and 1842858201.

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, 13451452 + ... + 13451588.

It is an arithmetic number, because the mean of its divisors is an integer number (21437472).

Almost surely, 2^1842858240 is an apocalyptic number.

1842858240 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 1842858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086995968).

1842858240 is an abundant number, since it is smaller than the sum of its proper divisors (4331133696).

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

1842858240 is a wasteful number, since it uses less digits than its factorization.

1842858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 1842858240 is about 42928.5247824800. The cubic root of 1842858240 is about 1226.0193076573.

The spelling of 1842858240 in words is "one billion, eight hundred forty-two million, eight hundred fifty-eight thousand, two hundred forty".