2007152720 has 40 divisors (see below), whose sum is σ = 4672904040. Its totient is φ = 801781760.

The previous prime is 2007152717. The next prime is 2007152731. The reversal of 2007152720 is 272517002.

It can be written as a sum of positive squares in 4 ways, for example, as 23697424 + 1983455296 = 4868^2 + 44536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2007152720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44396 + ... + 77364.

It is an arithmetic number, because the mean of its divisors is an integer number (116822601).

Almost surely, 2^2007152720 is an apocalyptic number.

2007152720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007152720 is an abundant number, since it is smaller than the sum of its proper divisors (2665751320).

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

2007152720 is a wasteful number, since it uses less digits than its factorization.

2007152720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33743 (or 33737 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 2007152720 is about 44801.2580180512. The cubic root of 2007152720 is about 1261.4212399891.

Adding to 2007152720 its reverse (272517002), we get a palindrome (2279669722).

The spelling of 2007152720 in words is "two billion, seven million, one hundred fifty-two thousand, seven hundred twenty".