2048267140 has 24 divisors (see below), whose sum is σ = 4307896152. Its totient is φ = 818062080.

The previous prime is 2048267131. The next prime is 2048267149. The reversal of 2048267140 is 417628402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2048267131) and next prime (2048267149).

It can be written as a sum of positive squares in 4 ways, for example, as 54287424 + 1993979716 = 7368^2 + 44654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2048267096 and 2048267105.

It is not an unprimeable number, because it can be changed into a prime (2048267149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64249 + ... + 90688.

It is an arithmetic number, because the mean of its divisors is an integer number (179495673).

Almost surely, 2^2048267140 is an apocalyptic number.

2048267140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048267140 is an abundant number, since it is smaller than the sum of its proper divisors (2259629012).

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

2048267140 is a wasteful number, since it uses less digits than its factorization.

2048267140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155607 (or 155605 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2048267140 is about 45257.7854075959. The cubic root of 2048267140 is about 1269.9760551007.

The spelling of 2048267140 in words is "two billion, forty-eight million, two hundred sixty-seven thousand, one hundred forty".