1939148640 has 768 divisors, whose sum is σ = 8270760960. Its totient is φ = 418037760.

The previous prime is 1939148609. The next prime is 1939148641. The reversal of 1939148640 is 468419391.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1939148641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26563644 + ... + 26563716.

It is an arithmetic number, because the mean of its divisors is an integer number (10769220).

Almost surely, 2^1939148640 is an apocalyptic number.

1939148640 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 1939148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135380480).

1939148640 is an abundant number, since it is smaller than the sum of its proper divisors (6331612320).

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

1939148640 is a wasteful number, since it uses less digits than its factorization.

1939148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

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

The square root of 1939148640 is about 44035.7654639953. The cubic root of 1939148640 is about 1247.0112360609.

The spelling of 1939148640 in words is "one billion, nine hundred thirty-nine million, one hundred forty-eight thousand, six hundred forty".