2070307200 has 384 divisors, whose sum is σ = 7506082080. Its totient is φ = 498401280.

The previous prime is 2070307189. The next prime is 2070307219. The reversal of 2070307200 is 27030702.

It is a tau number, because it is divible by the number of its divisors (384).

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, 6614244 + ... + 6614556.

Almost surely, 2^2070307200 is an apocalyptic number.

2070307200 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 2070307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753041040).

2070307200 is an abundant number, since it is smaller than the sum of its proper divisors (5435774880).

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

2070307200 is a wasteful number, since it uses less digits than its factorization.

2070307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 2070307200 is about 45500.6285670869. The cubic root of 2070307200 is about 1274.5149404398.

Adding to 2070307200 its reverse (27030702), we get a palindrome (2097337902).

The spelling of 2070307200 in words is "two billion, seventy million, three hundred seven thousand, two hundred".