1839540000 has 480 divisors, whose sum is σ = 6650671104. Its totient is φ = 443520000.

The previous prime is 1839539993. The next prime is 1839540011. The reversal of 1839540000 is 459381.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1839540000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42779979 + ... + 42780021.

Almost surely, 2^1839540000 is an apocalyptic number.

1839540000 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 1839540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325335552).

1839540000 is an abundant number, since it is smaller than the sum of its proper divisors (4811131104).

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

1839540000 is a wasteful number, since it uses less digits than its factorization.

1839540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1839540000 is about 42889.8589412462. The cubic root of 1839540000 is about 1225.2830111070.

Adding to 1839540000 its reverse (459381), we get a palindrome (1839999381).

The spelling of 1839540000 in words is "one billion, eight hundred thirty-nine million, five hundred forty thousand".