2896799760 has 200 divisors, whose sum is σ = 10094841240. Its totient is φ = 769886208.

The previous prime is 2896799749. The next prime is 2896799767. The reversal of 2896799760 is 679976982.

It can be written as a sum of positive squares in 4 ways, for example, as 1771063056 + 1125736704 = 42084^2 + 33552^2 .

It is not an unprimeable number, because it can be changed into a prime (2896799767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2649774 + ... + 2650866.

Almost surely, 2^2896799760 is an apocalyptic number.

2896799760 is a gapful number since it is divisible by the number (20) 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 2896799760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047420620).

2896799760 is an abundant number, since it is smaller than the sum of its proper divisors (7198041480).

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

2896799760 is a wasteful number, since it uses less digits than its factorization.

2896799760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The square root of 2896799760 is about 53821.9263869290. The cubic root of 2896799760 is about 1425.5183931111.

The spelling of 2896799760 in words is "two billion, eight hundred ninety-six million, seven hundred ninety-nine thousand, seven hundred sixty".