2072281344 has 216 divisors, whose sum is σ = 6543089280. Its totient is φ = 580349952.

The previous prime is 2072281319. The next prime is 2072281369. The reversal of 2072281344 is 4431822702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2072281319) and next prime (2072281369).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1993977 + ... + 1995015.

It is an arithmetic number, because the mean of its divisors is an integer number (30292080).

Almost surely, 2^2072281344 is an apocalyptic number.

2072281344 is a gapful number since it is divisible by the number (24) 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 2072281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271544640).

2072281344 is an abundant number, since it is smaller than the sum of its proper divisors (4470807936).

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

2072281344 is a wasteful number, since it uses less digits than its factorization.

2072281344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2072281344 is about 45522.3169884838. The cubic root of 2072281344 is about 1274.9199168463.

The spelling of 2072281344 in words is "two billion, seventy-two million, two hundred eighty-one thousand, three hundred forty-four".