2072064000 has 416 divisors, whose sum is σ = 7360104960. Its totient is φ = 516096000.

The previous prime is 2072063999. The next prime is 2072064013. The reversal of 2072064000 is 4602702.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29183965 + ... + 29184035.

It is an arithmetic number, because the mean of its divisors is an integer number (17692560).

Almost surely, 2^2072064000 is an apocalyptic number.

2072064000 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 2072064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680052480).

2072064000 is an abundant number, since it is smaller than the sum of its proper divisors (5288040960).

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

2072064000 is an equidigital number, since it uses as much as digits as its factorization.

2072064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

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

The square root of 2072064000 is about 45519.9297011759. The cubic root of 2072064000 is about 1274.8753434452.

Adding to 2072064000 its reverse (4602702), we get a palindrome (2076666702).

The spelling of 2072064000 in words is "two billion, seventy-two million, sixty-four thousand".