1942973760 has 448 divisors, whose sum is σ = 7930847232. Its totient is φ = 391716864.

The previous prime is 1942973759. The next prime is 1942973761. The reversal of 1942973760 is 673792491.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1942973759) and next prime (1942973761).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1942973761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2008797 + ... + 2009763.

It is an arithmetic number, because the mean of its divisors is an integer number (17702784).

Almost surely, 2^1942973760 is an apocalyptic number.

1942973760 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 1942973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965423616).

1942973760 is an abundant number, since it is smaller than the sum of its proper divisors (5987873472).

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

1942973760 is a wasteful number, since it uses less digits than its factorization.

1942973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 1942973760 is about 44079.1760358562. The cubic root of 1942973760 is about 1247.8306394110.

The spelling of 1942973760 in words is "one billion, nine hundred forty-two million, nine hundred seventy-three thousand, seven hundred sixty".