2265510016 has 128 divisors (see below), whose sum is σ = 5734488960. Its totient is φ = 865812480.

The previous prime is 2265510007. The next prime is 2265510031. The reversal of 2265510016 is 6100155622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520200 + ... + 524536.

It is an arithmetic number, because the mean of its divisors is an integer number (44800695).

Almost surely, 2^2265510016 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 2265510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867244480).

2265510016 is an abundant number, since it is smaller than the sum of its proper divisors (3468978944).

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

2265510016 is a wasteful number, since it uses less digits than its factorization.

2265510016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2265510016 is about 47597.3740452139. The cubic root of 2265510016 is about 1313.3747487663.

Adding to 2265510016 its reverse (6100155622), we get a palindrome (8365665638).

The spelling of 2265510016 in words is "two billion, two hundred sixty-five million, five hundred ten thousand, sixteen".