2071842528 has 192 divisors, whose sum is σ = 6453457920. Its totient is φ = 569659392.

The previous prime is 2071842527. The next prime is 2071842569. The reversal of 2071842528 is 8252481702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071842523) 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, 2560588 + ... + 2561396.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^2071842528 is an apocalyptic number.

2071842528 is a gapful number since it is divisible by the number (28) 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 2071842528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

2071842528 is an abundant number, since it is smaller than the sum of its proper divisors (4381615392).

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

2071842528 is a wasteful number, since it uses less digits than its factorization.

2071842528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 2071842528 is about 45517.4969434832. The cubic root of 2071842528 is about 1274.8299202581.

The spelling of 2071842528 in words is "two billion, seventy-one million, eight hundred forty-two thousand, five hundred twenty-eight".