2072985600 has 360 divisors, whose sum is σ = 7866177088. Its totient is φ = 471859200.

The previous prime is 2072985571. The next prime is 2072985611. The reversal of 2072985600 is 65892702.

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 23 ways as a sum of consecutive naturals, for example, 8601480 + ... + 8601720.

Almost surely, 2^2072985600 is an apocalyptic number.

2072985600 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 2072985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933088544).

2072985600 is an abundant number, since it is smaller than the sum of its proper divisors (5793191488).

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

2072985600 is an equidigital number, since it uses as much as digits as its factorization.

2072985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2072985600 is about 45530.0516142910. The cubic root of 2072985600 is about 1275.0643258588.

The spelling of 2072985600 in words is "two billion, seventy-two million, nine hundred eighty-five thousand, six hundred".