2049507360 has 120 divisors (see below), whose sum is σ = 7233098796. Its totient is φ = 546531840.

The previous prime is 2049507353. The next prime is 2049507389. The reversal of 2049507360 is 637059402.

2049507360 is a `hidden beast` number, since 204 + 95 + 0 + 7 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1963907856 + 85599504 = 44316^2 + 9252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66111 + ... + 92030.

Almost surely, 2^2049507360 is an apocalyptic number.

2049507360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2049507360 is an abundant number, since it is smaller than the sum of its proper divisors (5183591436).

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

2049507360 is a wasteful number, since it uses less digits than its factorization.

2049507360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158168 (or 158151 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2049507360 is about 45271.4850651047. The cubic root of 2049507360 is about 1270.2323256953.

The spelling of 2049507360 in words is "two billion, forty-nine million, five hundred seven thousand, three hundred sixty".