1944138240 has 320 divisors, whose sum is σ = 7536481920. Its totient is φ = 471121920.

The previous prime is 1944138233. The next prime is 1944138269. The reversal of 1944138240 is 428314491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×1944138240³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1944138195 and 1944138204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759042 + ... + 761598.

It is an arithmetic number, because the mean of its divisors is an integer number (23551506).

Almost surely, 2^1944138240 is an apocalyptic number.

1944138240 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 1944138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768240960).

1944138240 is an abundant number, since it is smaller than the sum of its proper divisors (5592343680).

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

1944138240 is a wasteful number, since it uses less digits than its factorization.

1944138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1944138240 is about 44092.3830156638. The cubic root of 1944138240 is about 1248.0798765443.

The spelling of 1944138240 in words is "one billion, nine hundred forty-four million, one hundred thirty-eight thousand, two hundred forty".