1941945768 has 384 divisors, whose sum is σ = 6829056000. Its totient is φ = 485222400.

The previous prime is 1941945767. The next prime is 1941945769. The reversal of 1941945768 is 8675491491.

It is an interprime number because it is at equal distance from previous prime (1941945767) and next prime (1941945769).

It is not an unprimeable number, because it can be changed into a prime (1941945767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12860493 + ... + 12860643.

It is an arithmetic number, because the mean of its divisors is an integer number (17784000).

Almost surely, 2^1941945768 is an apocalyptic number.

1941945768 is a gapful number since it is divisible by the number (18) 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 1941945768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414528000).

1941945768 is an abundant number, since it is smaller than the sum of its proper divisors (4887110232).

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

1941945768 is a wasteful number, since it uses less digits than its factorization.

1941945768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 1941945768 is about 44067.5137487923. The cubic root of 1941945768 is about 1247.6105324396.

The spelling of 1941945768 in words is "one billion, nine hundred forty-one million, nine hundred forty-five thousand, seven hundred sixty-eight".