1949330880 has 448 divisors, whose sum is σ = 7947233280. Its totient is φ = 440598528.

The previous prime is 1949330861. The next prime is 1949330893. The reversal of 1949330880 is 880339491.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10100064 + ... + 10100256.

It is an arithmetic number, because the mean of its divisors is an integer number (17739360).

Almost surely, 2^1949330880 is an apocalyptic number.

1949330880 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 1949330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973616640).

1949330880 is an abundant number, since it is smaller than the sum of its proper divisors (5997902400).

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

1949330880 is a wasteful number, since it uses less digits than its factorization.

1949330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1949330880 is about 44151.2273895075. The cubic root of 1949330880 is about 1249.1900630484.

The spelling of 1949330880 in words is "one billion, nine hundred forty-nine million, three hundred thirty thousand, eight hundred eighty".