1960042752 has 72 divisors (see below), whose sum is σ = 5796211680. Its totient is φ = 653345280.

The previous prime is 1960042741. The next prime is 1960042757. The reversal of 1960042752 is 2572400691.

1960042752 is a `hidden beast` number, since 1 + 9 + 600 + 42 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1960042757) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 134874 + ... + 148697.

It is an arithmetic number, because the mean of its divisors is an integer number (80502940).

Almost surely, 2^1960042752 is an apocalyptic number.

1960042752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1960042752 is an abundant number, since it is smaller than the sum of its proper divisors (3836168928).

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

1960042752 is an equidigital number, since it uses as much as digits as its factorization.

1960042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283596 (or 283576 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1960042752 is about 44272.3700743477. The cubic root of 1960042752 is about 1251.4740481557.

The spelling of 1960042752 in words is "one billion, nine hundred sixty million, forty-two thousand, seven hundred fifty-two".