2049759120 has 80 divisors (see below), whose sum is σ = 6461997120. Its totient is φ = 537334272.

The previous prime is 2049759113. The next prime is 2049759157. The reversal of 2049759120 is 219579402.

2049759120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58219 + ... + 86538.

It is an arithmetic number, because the mean of its divisors is an integer number (80774964).

Almost surely, 2^2049759120 is an apocalyptic number.

2049759120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2049759120 is an abundant number, since it is smaller than the sum of its proper divisors (4412238000).

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

2049759120 is a wasteful number, since it uses less digits than its factorization.

2049759120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144832 (or 144826 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2049759120 is about 45274.2655379411. The cubic root of 2049759120 is about 1270.2843350388.

The spelling of 2049759120 in words is "two billion, forty-nine million, seven hundred fifty-nine thousand, one hundred twenty".