1864500000 has 336 divisors, whose sum is σ = 6733038816. Its totient is φ = 448000000.

The previous prime is 1864499983. The next prime is 1864500013. The reversal of 1864500000 is 54681.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16499944 + ... + 16500056.

It is an arithmetic number, because the mean of its divisors is an integer number (20038806).

Almost surely, 2^1864500000 is an apocalyptic number.

1864500000 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 1864500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366519408).

1864500000 is an abundant number, since it is smaller than the sum of its proper divisors (4868538816).

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

1864500000 is an equidigital number, since it uses as much as digits as its factorization.

1864500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1864500000 is about 43179.8564147682. The cubic root of 1864500000 is about 1230.7999291221.

Adding to 1864500000 its reverse (54681), we get a palindrome (1864554681).

The spelling of 1864500000 in words is "one billion, eight hundred sixty-four million, five hundred thousand".