1948545640 has 16 divisors (see below), whose sum is σ = 4384227780. Its totient is φ = 779418240.

The previous prime is 1948545617. The next prime is 1948545647. The reversal of 1948545640 is 465458491.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1932657444 + 15888196 = 43962^2 + 3986^2 .

It is a super-2 number, since 2×1948545640² = 7593660222326019200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1948545647) 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 3 ways as a sum of consecutive naturals, for example, 24356781 + ... + 24356860.

Almost surely, 2^1948545640 is an apocalyptic number.

1948545640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948545640 is an abundant number, since it is smaller than the sum of its proper divisors (2435682140).

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

1948545640 is a wasteful number, since it uses less digits than its factorization.

1948545640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48713652 (or 48713648 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The square root of 1948545640 is about 44142.3338757705. Note that the first 3 decimals coincide. The cubic root of 1948545640 is about 1249.0223053566.

The spelling of 1948545640 in words is "one billion, nine hundred forty-eight million, five hundred forty-five thousand, six hundred forty".