2533756960 has 96 divisors (see below), whose sum is σ = 6864359040. Its totient is φ = 865769472.

The previous prime is 2533756919. The next prime is 2533756963. The reversal of 2533756960 is 696573352.

It is a self number, because there is not a number n which added to its sum of digits gives 2533756960.

It is not an unprimeable number, because it can be changed into a prime (2533756963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340156 + ... + 347524.

It is an arithmetic number, because the mean of its divisors is an integer number (71503740).

Almost surely, 2^2533756960 is an apocalyptic number.

2533756960 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 2533756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432179520).

2533756960 is an abundant number, since it is smaller than the sum of its proper divisors (4330602080).

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

2533756960 is a wasteful number, since it uses less digits than its factorization.

2533756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 46.

The square root of 2533756960 is about 50336.4376967620. The cubic root of 2533756960 is about 1363.2902170248.

The spelling of 2533756960 in words is "two billion, five hundred thirty-three million, seven hundred fifty-six thousand, nine hundred sixty".