2181507120 has 160 divisors (see below), whose sum is σ = 8092190400. Its totient is φ = 536979456.

The previous prime is 2181507101. The next prime is 2181507121. The reversal of 2181507120 is 217051812.

It is a super-2 number, since 2×2181507120² = 9517946629221388800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2181507121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10765 + ... + 66924.

It is an arithmetic number, because the mean of its divisors is an integer number (50576190).

Almost surely, 2^2181507120 is an apocalyptic number.

2181507120 is a gapful number since it is divisible by the number (20) 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 2181507120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046095200).

2181507120 is an abundant number, since it is smaller than the sum of its proper divisors (5910683280).

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

2181507120 is a wasteful number, since it uses less digits than its factorization.

2181507120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77724 (or 77712 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 2181507120 is about 46706.6068131694. The cubic root of 2181507120 is about 1296.9369938682.

Adding to 2181507120 its reverse (217051812), we get a palindrome (2398558932).

The spelling of 2181507120 in words is "two billion, one hundred eighty-one million, five hundred seven thousand, one hundred twenty".