2068762752 has 288 divisors, whose sum is σ = 7041219120. Its totient is φ = 581188608.

The previous prime is 2068762733. The next prime is 2068762753. The reversal of 2068762752 is 2572678602.

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

It is a super-2 number, since 2×2068762752² = 8559558648125227008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2068762698 and 2068762707.

It is not an unprimeable number, because it can be changed into a prime (2068762753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3781743 + ... + 3782289.

Almost surely, 2^2068762752 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 2068762752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520609560).

2068762752 is an abundant number, since it is smaller than the sum of its proper divisors (4972456368).

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

2068762752 is a wasteful number, since it uses less digits than its factorization.

2068762752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2068762752 is about 45483.6536790966. The cubic root of 2068762752 is about 1274.1979324560.

It can be divided in two parts, 206876 and 2752, that added together give a triangular number (209628 = T₆₄₇).

The spelling of 2068762752 in words is "two billion, sixty-eight million, seven hundred sixty-two thousand, seven hundred fifty-two".