1940956320 has 96 divisors (see below), whose sum is σ = 6141768192. Its totient is φ = 515238912.

The previous prime is 1940956309. The next prime is 1940956357. The reversal of 1940956320 is 236590491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1940956320² = 7534622872295884800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 97974 + ... + 116106.

It is an arithmetic number, because the mean of its divisors is an integer number (63976752).

Almost surely, 2^1940956320 is an apocalyptic number.

1940956320 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 1940956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070884096).

1940956320 is an abundant number, since it is smaller than the sum of its proper divisors (4200811872).

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

1940956320 is a wasteful number, since it uses less digits than its factorization.

1940956320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18374 (or 18366 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1940956320 is about 44056.2858171226. The cubic root of 1940956320 is about 1247.3986048837.

The spelling of 1940956320 in words is "one billion, nine hundred forty million, nine hundred fifty-six thousand, three hundred twenty".