1939129920 has 672 divisors, whose sum is σ = 8431987200. Its totient is φ = 406425600.

The previous prime is 1939129831. The next prime is 1939129937. The reversal of 1939129920 is 299219391.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 12841845 + ... + 12841995.

It is an arithmetic number, because the mean of its divisors is an integer number (12547600).

Almost surely, 2^1939129920 is an apocalyptic number.

1939129920 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 1939129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215993600).

1939129920 is an abundant number, since it is smaller than the sum of its proper divisors (6492857280).

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

1939129920 is a wasteful number, since it uses less digits than its factorization.

1939129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 1939129920 is about 44035.5529089848. The cubic root of 1939129920 is about 1247.0072232818.

The spelling of 1939129920 in words is "one billion, nine hundred thirty-nine million, one hundred twenty-nine thousand, nine hundred twenty".