1842414210 has 192 divisors, whose sum is σ = 6017356800. Its totient is φ = 388644480.

The previous prime is 1842414199. The next prime is 1842414229. The reversal of 1842414210 is 124142481.

1842414210 is a `hidden beast` number, since 18 + 424 + 14 + 210 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399015 + ... + 403605.

It is an arithmetic number, because the mean of its divisors is an integer number (31340400).

Almost surely, 2^1842414210 is an apocalyptic number.

1842414210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1842414210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008678400).

1842414210 is an abundant number, since it is smaller than the sum of its proper divisors (4174942590).

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

1842414210 is a wasteful number, since it uses less digits than its factorization.

1842414210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1842414210 is about 42923.3527348459. The cubic root of 1842414210 is about 1225.9208314479.

Adding to 1842414210 its reverse (124142481), we get a palindrome (1966556691).

The spelling of 1842414210 in words is "one billion, eight hundred forty-two million, four hundred fourteen thousand, two hundred ten".