2072860800 has 192 divisors, whose sum is σ = 6861792960. Its totient is φ = 549990400.

The previous prime is 2072860789. The next prime is 2072860861. The reversal of 2072860800 is 80682702.

It is a tau number, because it is divible by the number of its divisors (192).

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, 2524390 + ... + 2525210.

It is an arithmetic number, because the mean of its divisors is an integer number (35738505).

Almost surely, 2^2072860800 is an apocalyptic number.

2072860800 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 2072860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430896480).

2072860800 is an abundant number, since it is smaller than the sum of its proper divisors (4788932160).

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

2072860800 is a wasteful number, since it uses less digits than its factorization.

2072860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2072860800 is about 45528.6810702880. The cubic root of 2072860800 is about 1275.0387377696.

The spelling of 2072860800 in words is "two billion, seventy-two million, eight hundred sixty thousand, eight hundred".