2072533680 has 480 divisors, whose sum is σ = 8746583040. Its totient is φ = 428820480.

The previous prime is 2072533669. The next prime is 2072533681. The reversal of 2072533680 is 863352702.

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

It is not an unprimeable number, because it can be changed into a prime (2072533681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2202010 + ... + 2202950.

It is an arithmetic number, because the mean of its divisors is an integer number (18222048).

Almost surely, 2^2072533680 is an apocalyptic number.

2072533680 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 2072533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373291520).

2072533680 is an abundant number, since it is smaller than the sum of its proper divisors (6674049360).

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

2072533680 is a wasteful number, since it uses less digits than its factorization.

2072533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2072533680 is about 45525.0884677888. The cubic root of 2072533680 is about 1274.9716625767.

The spelling of 2072533680 in words is "two billion, seventy-two million, five hundred thirty-three thousand, six hundred eighty".