2007215820 has 72 divisors (see below), whose sum is σ = 6128959200. Its totient is φ = 531705600.

The previous prime is 2007215801. The next prime is 2007215827. The reversal of 2007215820 is 285127002.

It is not an unprimeable number, because it can be changed into a prime (2007215827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9745 + ... + 64104.

Almost surely, 2^2007215820 is an apocalyptic number.

2007215820 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 2007215820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064479600).

2007215820 is an abundant number, since it is smaller than the sum of its proper divisors (4121743380).

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

2007215820 is a wasteful number, since it uses less digits than its factorization.

2007215820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74015 (or 74010 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2007215820 is about 44801.9622338129. The cubic root of 2007215820 is about 1261.4344585225.

The spelling of 2007215820 in words is "two billion, seven million, two hundred fifteen thousand, eight hundred twenty".