2165377280 has 288 divisors, whose sum is σ = 6032710656. Its totient is φ = 743424000.

The previous prime is 2165377271. The next prime is 2165377283. The reversal of 2165377280 is 827735612.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (2165377283) 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, 52814060 + ... + 52814100.

It is an arithmetic number, because the mean of its divisors is an integer number (20946912).

Almost surely, 2^2165377280 is an apocalyptic number.

2165377280 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 2165377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016355328).

2165377280 is an abundant number, since it is smaller than the sum of its proper divisors (3867333376).

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

2165377280 is an equidigital number, since it uses as much as digits as its factorization.

2165377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 2165377280 is about 46533.6145168200. The cubic root of 2165377280 is about 1293.7326101578.

The spelling of 2165377280 in words is "two billion, one hundred sixty-five million, three hundred seventy-seven thousand, two hundred eighty".