2668759632 has 240 divisors, whose sum is σ = 9360793728. Its totient is φ = 689541120.

The previous prime is 2668759631. The next prime is 2668759657. The reversal of 2668759632 is 2369578662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668759631) 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, 2582988 + ... + 2584020.

Almost surely, 2^2668759632 is an apocalyptic number.

2668759632 is a gapful number since it is divisible by the number (22) 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 2668759632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680396864).

2668759632 is an abundant number, since it is smaller than the sum of its proper divisors (6692034096).

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

2668759632 is a wasteful number, since it uses less digits than its factorization.

2668759632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2668759632 is about 51660.0390243755. The cubic root of 2668759632 is about 1387.0852491056.

The spelling of 2668759632 in words is "two billion, six hundred sixty-eight million, seven hundred fifty-nine thousand, six hundred thirty-two".