2007893200 has 60 divisors (see below), whose sum is σ = 4842025408. Its totient is φ = 800150400.

The previous prime is 2007893197. The next prime is 2007893201. The reversal of 2007893200 is 23987002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007893201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99139 + ... + 117661.

Almost surely, 2^2007893200 is an apocalyptic number.

2007893200 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 2007893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421012704).

2007893200 is an abundant number, since it is smaller than the sum of its proper divisors (2834132208).

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

2007893200 is a wasteful number, since it uses less digits than its factorization.

2007893200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18812 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2007893200 is about 44809.5213096503. The cubic root of 2007893200 is about 1261.5763423470.

The spelling of 2007893200 in words is "two billion, seven million, eight hundred ninety-three thousand, two hundred".