1815009120 has 240 divisors, whose sum is σ = 6685066080. Its totient is φ = 462882816.

The previous prime is 1815009113. The next prime is 1815009169. The reversal of 1815009120 is 219005181.

1815009120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 295036 + ... + 301124.

It is an arithmetic number, because the mean of its divisors is an integer number (27854442).

Almost surely, 2^1815009120 is an apocalyptic number.

1815009120 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 1815009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342533040).

1815009120 is an abundant number, since it is smaller than the sum of its proper divisors (4870056960).

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

1815009120 is a wasteful number, since it uses less digits than its factorization.

1815009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1815009120 is about 42602.9238433232. The cubic root of 1815009120 is about 1219.8121004178.

The spelling of 1815009120 in words is "one billion, eight hundred fifteen million, nine thousand, one hundred twenty".