2180135760 has 320 divisors, whose sum is σ = 8063483904. Its totient is φ = 481075200.

The previous prime is 2180135747. The next prime is 2180135779. The reversal of 2180135760 is 675310812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390497 + ... + 1392063.

Almost surely, 2^2180135760 is an apocalyptic number.

2180135760 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 2180135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031741952).

2180135760 is an abundant number, since it is smaller than the sum of its proper divisors (5883348144).

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

2180135760 is a wasteful number, since it uses less digits than its factorization.

2180135760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2180135760 is about 46691.9239269491. The cubic root of 2180135760 is about 1296.6651725637.

The spelling of 2180135760 in words is "two billion, one hundred eighty million, one hundred thirty-five thousand, seven hundred sixty".