1834715040 has 96 divisors (see below), whose sum is σ = 5800636800. Its totient is φ = 487455744.

The previous prime is 1834715023. The next prime is 1834715101. The reversal of 1834715040 is 405174381.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1834714992 and 1834715010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126061 + ... + 139859.

It is an arithmetic number, because the mean of its divisors is an integer number (60423300).

Almost surely, 2^1834715040 is an apocalyptic number.

1834715040 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 1834715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900318400).

1834715040 is an abundant number, since it is smaller than the sum of its proper divisors (3965921760).

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

1834715040 is a wasteful number, since it uses less digits than its factorization.

1834715040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14094 (or 14086 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1834715040 is about 42833.5737477040. The cubic root of 1834715040 is about 1224.2108014050.

The spelling of 1834715040 in words is "one billion, eight hundred thirty-four million, seven hundred fifteen thousand, forty".