2909721920 has 84 divisors (see below), whose sum is σ = 8060047380. Its totient is φ = 997613568.

The previous prime is 2909721911. The next prime is 2909721923. The reversal of 2909721920 is 291279092.

2909721920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 907696384 + 2002025536 = 30128^2 + 44744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2909721923) 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, 77105 + ... + 108464.

It is an arithmetic number, because the mean of its divisors is an integer number (95952945).

Almost surely, 2^2909721920 is an apocalyptic number.

2909721920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2909721920 is an abundant number, since it is smaller than the sum of its proper divisors (5150325460).

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

2909721920 is a wasteful number, since it uses less digits than its factorization.

2909721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185600 (or 185583 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 2909721920 is about 53941.8383075698. The cubic root of 2909721920 is about 1427.6349188465.

The spelling of 2909721920 in words is "two billion, nine hundred nine million, seven hundred twenty-one thousand, nine hundred twenty".