2165886240 has 288 divisors, whose sum is σ = 8054411904. Its totient is φ = 487710720.

The previous prime is 2165886227. The next prime is 2165886263. The reversal of 2165886240 is 426885612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2165886192 and 2165886201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669272 + ... + 1670568.

It is an arithmetic number, because the mean of its divisors is an integer number (27966708).

Almost surely, 2^2165886240 is an apocalyptic number.

2165886240 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 2165886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027205952).

2165886240 is an abundant number, since it is smaller than the sum of its proper divisors (5888525664).

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

2165886240 is a wasteful number, since it uses less digits than its factorization.

2165886240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2165886240 is about 46539.0829303715. The cubic root of 2165886240 is about 1293.8339637915.

The spelling of 2165886240 in words is "two billion, one hundred sixty-five million, eight hundred eighty-six thousand, two hundred forty".