7052082048 has 256 divisors, whose sum is σ = 22938739200. Its totient is φ = 2115072000.

The previous prime is 7052082043. The next prime is 7052082061. The reversal of 7052082048 is 8402802507.

It is a happy number.

7052082048 is a `hidden beast` number, since 70 + 520 + 8 + 20 + 48 = 666.

It is a super-3 number, since 3×7052082048³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7052082043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3914748 + ... + 3916548.

It is an arithmetic number, because the mean of its divisors is an integer number (89604450).

Almost surely, 2^7052082048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7052082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469369600).

7052082048 is an abundant number, since it is smaller than the sum of its proper divisors (15886657152).

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

7052082048 is a wasteful number, since it uses less digits than its factorization.

7052082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7052082048 is about 83976.6756188884. The cubic root of 7052082048 is about 1917.6637208404.

The spelling of 7052082048 in words is "seven billion, fifty-two million, eighty-two thousand, forty-eight".