2071344000 has 256 divisors, whose sum is σ = 7492642560. Its totient is φ = 502016000.

The previous prime is 2071343983. The next prime is 2071344001. The reversal of 2071344000 is 4431702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071344001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526039 + ... + 529961.

It is an arithmetic number, because the mean of its divisors is an integer number (29268135).

Almost surely, 2^2071344000 is an apocalyptic number.

2071344000 is a gapful number since it is divisible by the number (20) 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 2071344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746321280).

2071344000 is an abundant number, since it is smaller than the sum of its proper divisors (5421298560).

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

2071344000 is a wasteful number, since it uses less digits than its factorization.

2071344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2071344000 is about 45512.0203902222. The cubic root of 2071344000 is about 1274.7276619408.

Adding to 2071344000 its reverse (4431702), we get a palindrome (2075775702).

The spelling of 2071344000 in words is "two billion, seventy-one million, three hundred forty-four thousand".