1941857064 has 240 divisors, whose sum is σ = 6604567200. Its totient is φ = 530494272.

The previous prime is 1941857053. The next prime is 1941857077. The reversal of 1941857064 is 4607581491.

1941857064 is a `hidden beast` number, since 1 + 9 + 4 + 18 + 570 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 728967 + ... + 731625.

It is an arithmetic number, because the mean of its divisors is an integer number (27519030).

Almost surely, 2^1941857064 is an apocalyptic number.

1941857064 is a gapful number since it is divisible by the number (14) 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 1941857064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302283600).

1941857064 is an abundant number, since it is smaller than the sum of its proper divisors (4662710136).

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

1941857064 is a wasteful number, since it uses less digits than its factorization.

1941857064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1941857064 is about 44066.5072816079. The cubic root of 1941857064 is about 1247.5915360750.

The spelling of 1941857064 in words is "one billion, nine hundred forty-one million, eight hundred fifty-seven thousand, sixty-four".