2944045440 has 960 divisors, whose sum is σ = 13084988400. Its totient is φ = 627056640.

The previous prime is 2944045411. The next prime is 2944045451. The reversal of 2944045440 is 445404492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 2944045395 and 2944045404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48263010 + ... + 48263070.

Almost surely, 2^2944045440 is an apocalyptic number.

2944045440 is a gapful number since it is divisible by the number (20) 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 2944045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542494200).

2944045440 is an abundant number, since it is smaller than the sum of its proper divisors (10140942960).

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

2944045440 is a wasteful number, since it uses less digits than its factorization.

2944045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2944045440 is about 54259.0585985419. The cubic root of 2944045440 is about 1433.2265221771.

The spelling of 2944045440 in words is "two billion, nine hundred forty-four million, forty-five thousand, four hundred forty".