2010527568 has 240 divisors, whose sum is σ = 6886670336. Its totient is φ = 555672960.

The previous prime is 2010527567. The next prime is 2010527587. The reversal of 2010527568 is 8657250102.

It is a happy number.

It is a super-2 number, since 2×2010527568² = 8084442203375989248, which contains 22 as substring.

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 (2010527567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842505 + ... + 844887.

Almost surely, 2^2010527568 is an apocalyptic number.

2010527568 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 2010527568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443335168).

2010527568 is an abundant number, since it is smaller than the sum of its proper divisors (4876142768).

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

2010527568 is a wasteful number, since it uses less digits than its factorization.

2010527568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2010527568 is about 44838.9068555423. The cubic root of 2010527568 is about 1262.1278331566.

The spelling of 2010527568 in words is "two billion, ten million, five hundred twenty-seven thousand, five hundred sixty-eight".