1944380160 has 288 divisors, whose sum is σ = 6969876480. Its totient is φ = 513257472.

The previous prime is 1944380111. The next prime is 1944380167. The reversal of 1944380160 is 610834491.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1944380160² = 7561228413203251200, which contains 22 as substring.

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 (1944380167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388899 + ... + 4389341.

It is an arithmetic number, because the mean of its divisors is an integer number (24200960).

Almost surely, 2^1944380160 is an apocalyptic number.

1944380160 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 1944380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484938240).

1944380160 is an abundant number, since it is smaller than the sum of its proper divisors (5025496320).

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

1944380160 is a wasteful number, since it uses less digits than its factorization.

1944380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1944380160 is about 44095.1262613001. The cubic root of 1944380160 is about 1248.1316429181.

The spelling of 1944380160 in words is "one billion, nine hundred forty-four million, three hundred eighty thousand, one hundred sixty".