1948250880 has 720 divisors, whose sum is σ = 7835224320. Its totient is φ = 459841536.

The previous prime is 1948250809. The next prime is 1948250933. The reversal of 1948250880 is 880528491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45308139 + ... + 45308181.

It is an arithmetic number, because the mean of its divisors is an integer number (10882256).

Almost surely, 2^1948250880 is an apocalyptic number.

1948250880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917612160).

1948250880 is an abundant number, since it is smaller than the sum of its proper divisors (5886973440).

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

1948250880 is a wasteful number, since it uses less digits than its factorization.

1948250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1948250880 is about 44138.9950044176. The cubic root of 1948250880 is about 1248.9593215645.

The spelling of 1948250880 in words is "one billion, nine hundred forty-eight million, two hundred fifty thousand, eight hundred eighty".