1948791040 has 72 divisors (see below), whose sum is σ = 5334840000. Its totient is φ = 668153856.

The previous prime is 1948791029. The next prime is 1948791077. The reversal of 1948791040 is 401978491.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99790 + ... + 117709.

It is an arithmetic number, because the mean of its divisors is an integer number (74095000).

Almost surely, 2^1948791040 is an apocalyptic number.

1948791040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948791040 is an abundant number, since it is smaller than the sum of its proper divisors (3386048960).

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

1948791040 is an equidigital number, since it uses as much as digits as its factorization.

1948791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217527 (or 217513 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 1948791040 is about 44145.1134328591. The cubic root of 1948791040 is about 1249.0747371466.

The spelling of 1948791040 in words is "one billion, nine hundred forty-eight million, seven hundred ninety-one thousand, forty".