2165753016 has 96 divisors (see below), whose sum is σ = 6717634560. Its totient is φ = 617484096.

The previous prime is 2165753003. The next prime is 2165753017. The reversal of 2165753016 is 6103575612.

It is a super-2 number, since 2×2165753016² = 9380972252626192512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165753017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249241 + ... + 257783.

It is an arithmetic number, because the mean of its divisors is an integer number (69975360).

Almost surely, 2^2165753016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165753016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358817280).

2165753016 is an abundant number, since it is smaller than the sum of its proper divisors (4551881544).

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

2165753016 is a wasteful number, since it uses less digits than its factorization.

2165753016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9065 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2165753016 is about 46537.6515952406. The cubic root of 2165753016 is about 1293.8074352713.

The spelling of 2165753016 in words is "two billion, one hundred sixty-five million, seven hundred fifty-three thousand, sixteen".