1941952320 has 840 divisors, whose sum is σ = 8829263520. Its totient is φ = 400619520.

The previous prime is 1941952267. The next prime is 1941952333. The reversal of 1941952320 is 232591491.

1941952320 is a `hidden beast` number, since 1 + 9 + 419 + 5 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13970811 + ... + 13970949.

It is an arithmetic number, because the mean of its divisors is an integer number (10511028).

Almost surely, 2^1941952320 is an apocalyptic number.

1941952320 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 1941952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414631760).

1941952320 is an abundant number, since it is smaller than the sum of its proper divisors (6887311200).

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

1941952320 is a wasteful number, since it uses less digits than its factorization.

1941952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1941952320 is about 44067.5880892068. The cubic root of 1941952320 is about 1247.6119355572.

The spelling of 1941952320 in words is "one billion, nine hundred forty-one million, nine hundred fifty-two thousand, three hundred twenty".