1948261120 has 144 divisors (see below), whose sum is σ = 5060224512. Its totient is φ = 714424320.

The previous prime is 1948261067. The next prime is 1948261141. The reversal of 1948261120 is 211628491.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3177934 + ... + 3178546.

It is an arithmetic number, because the mean of its divisors is an integer number (35140448).

Almost surely, 2^1948261120 is an apocalyptic number.

1948261120 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 1948261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530112256).

1948261120 is an abundant number, since it is smaller than the sum of its proper divisors (3111963392).

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

1948261120 is a wasteful number, since it uses less digits than its factorization.

1948261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1948261120 is about 44139.1110014690. Note that the first 3 decimals coincide. The cubic root of 1948261120 is about 1248.9615097360.

The spelling of 1948261120 in words is "one billion, nine hundred forty-eight million, two hundred sixty-one thousand, one hundred twenty".