1834187040 has 576 divisors, whose sum is σ = 7702007040. Its totient is φ = 388177920.

The previous prime is 1834187009. The next prime is 1834187063. The reversal of 1834187040 is 407814381.

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 = 1834186986 and 1834187004.

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, 11682642 + ... + 11682798.

It is an arithmetic number, because the mean of its divisors is an integer number (13371540).

Almost surely, 2^1834187040 is an apocalyptic number.

1834187040 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 1834187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851003520).

1834187040 is an abundant number, since it is smaller than the sum of its proper divisors (5867820000).

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

1834187040 is a wasteful number, since it uses less digits than its factorization.

1834187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1834187040 is about 42827.4099146796. The cubic root of 1834187040 is about 1224.0933544073.

The spelling of 1834187040 in words is "one billion, eight hundred thirty-four million, one hundred eighty-seven thousand, forty".