2073070800 has 240 divisors, whose sum is σ = 7634184000. Its totient is φ = 533675520.

The previous prime is 2073070789. The next prime is 2073070841. The reversal of 2073070800 is 80703702.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309891 + ... + 316509.

It is an arithmetic number, because the mean of its divisors is an integer number (31809100).

Almost surely, 2^2073070800 is an apocalyptic number.

2073070800 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 2073070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817092000).

2073070800 is an abundant number, since it is smaller than the sum of its proper divisors (5561113200).

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

2073070800 is a wasteful number, since it uses less digits than its factorization.

2073070800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2073070800 is about 45530.9872504430. The cubic root of 2073070800 is about 1275.0817940606.

The spelling of 2073070800 in words is "two billion, seventy-three million, seventy thousand, eight hundred".