1834496640 has 128 divisors (see below), whose sum is σ = 6497236800. Its totient is φ = 489194496.

The previous prime is 1834496623. The next prime is 1834496647. The reversal of 1834496640 is 466944381.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1834496647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35802 + ... + 70361.

Almost surely, 2^1834496640 is an apocalyptic number.

1834496640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1834496640 is an abundant number, since it is smaller than the sum of its proper divisors (4662740160).

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

1834496640 is a wasteful number, since it uses less digits than its factorization.

1834496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106191 (or 106173 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1834496640 is about 42831.0242697977. The cubic root of 1834496640 is about 1224.1622237889.

The spelling of 1834496640 in words is "one billion, eight hundred thirty-four million, four hundred ninety-six thousand, six hundred forty".