2533313160 has 384 divisors, whose sum is σ = 9774535680. Its totient is φ = 557051904.

The previous prime is 2533313141. The next prime is 2533313161. The reversal of 2533313160 is 613133352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2533313161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8645974 + ... + 8646266.

It is an arithmetic number, because the mean of its divisors is an integer number (25454520).

Almost surely, 2^2533313160 is an apocalyptic number.

2533313160 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 2533313160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887267840).

2533313160 is an abundant number, since it is smaller than the sum of its proper divisors (7241222520).

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

2533313160 is a wasteful number, since it uses less digits than its factorization.

2533313160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 2533313160 is about 50332.0291663271. The cubic root of 2533313160 is about 1363.2106167138.

The spelling of 2533313160 in words is "two billion, five hundred thirty-three million, three hundred thirteen thousand, one hundred sixty".