2012268416 has 64 divisors (see below), whose sum is σ = 4230960000. Its totient is φ = 950662656.

The previous prime is 2012268403. The next prime is 2012268469. The reversal of 2012268416 is 6148622102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2012268416² = 8098448356062298112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183535 + ... + 1185233.

It is an arithmetic number, because the mean of its divisors is an integer number (66108750).

Almost surely, 2^2012268416 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 2012268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115480000).

2012268416 is an abundant number, since it is smaller than the sum of its proper divisors (2218691584).

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

2012268416 is a wasteful number, since it uses less digits than its factorization.

2012268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2012268416 is about 44858.3149037054. The cubic root of 2012268416 is about 1262.4920060403.

The spelling of 2012268416 in words is "two billion, twelve million, two hundred sixty-eight thousand, four hundred sixteen".