2072442816 has 168 divisors, whose sum is σ = 6233647680. Its totient is φ = 657524736.

The previous prime is 2072442797. The next prime is 2072442839. The reversal of 2072442816 is 6182442702.

2072442816 is a `hidden beast` number, since 207 + 2 + 442 + 8 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000630 + ... + 1002698.

Almost surely, 2^2072442816 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 2072442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116823840).

2072442816 is an abundant number, since it is smaller than the sum of its proper divisors (4161204864).

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

2072442816 is a wasteful number, since it uses less digits than its factorization.

2072442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2072442816 is about 45524.0905016234. The cubic root of 2072442816 is about 1274.9530298729.

The spelling of 2072442816 in words is "two billion, seventy-two million, four hundred forty-two thousand, eight hundred sixteen".