2052082944 has 288 divisors, whose sum is σ = 6407367680. Its totient is φ = 646963200.

The previous prime is 2052082943. The next prime is 2052082957. The reversal of 2052082944 is 4492802502.

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

It is a super-2 number, since 2×2052082944² = 8422088818111414272, which contains 22 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 = 2052082899 and 2052082908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052082943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13070514 + ... + 13070670.

Almost surely, 2^2052082944 is an apocalyptic number.

2052082944 is a gapful number since it is divisible by the number (24) 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 2052082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203683840).

2052082944 is an abundant number, since it is smaller than the sum of its proper divisors (4355284736).

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

2052082944 is a wasteful number, since it uses less digits than its factorization.

2052082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2052082944 is about 45299.9221191384. The cubic root of 2052082944 is about 1270.7641966906.

The spelling of 2052082944 in words is "two billion, fifty-two million, eighty-two thousand, nine hundred forty-four".