1944084096 has 192 divisors, whose sum is σ = 6038365320. Its totient is φ = 598081536.

The previous prime is 1944084089. The next prime is 1944084139. The reversal of 1944084096 is 6904804491.

1944084096 = T₃₉₉ + T₄₀₀ + ... + T₂₂₇₁.

It can be written as a sum of positive squares in 4 ways, for example, as 1589138496 + 354945600 = 39864^2 + 18840^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1037016 + ... + 1038888.

Almost surely, 2^1944084096 is an apocalyptic number.

1944084096 is a gapful number since it is divisible by the number (16) 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 1944084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019182660).

1944084096 is an abundant number, since it is smaller than the sum of its proper divisors (4094281224).

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

1944084096 is a wasteful number, since it uses less digits than its factorization.

1944084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1944084096 is about 44091.7690277902. The cubic root of 1944084096 is about 1248.0682901487.

The spelling of 1944084096 in words is "one billion, nine hundred forty-four million, eighty-four thousand, ninety-six".