1944054000 has 640 divisors, whose sum is σ = 8232806400. Its totient is φ = 429235200.

The previous prime is 1944053999. The next prime is 1944054011. The reversal of 1944054000 is 4504491.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13985931 + ... + 13986069.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 2^1944054000 is an apocalyptic number.

1944054000 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 1944054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116403200).

1944054000 is an abundant number, since it is smaller than the sum of its proper divisors (6288752400).

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

1944054000 is a wasteful number, since it uses less digits than its factorization.

1944054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1944054000 is about 44091.4277382804. The cubic root of 1944054000 is about 1248.0618497454.

Adding to 1944054000 its reverse (4504491), we get a palindrome (1948558491).

It can be divided in two parts, 19440 and 54000, that multiplied together give a 4-th power (1049760000 = 180⁴).

The spelling of 1944054000 in words is "one billion, nine hundred forty-four million, fifty-four thousand".