2533609960 has 128 divisors (see below), whose sum is σ = 6921573120. Its totient is φ = 814804992.

The previous prime is 2533609931. The next prime is 2533609961. The reversal of 2533609960 is 699063352.

It is a super-2 number, since 2×2533609960² = 12838358858822403200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2533609961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774767 + ... + 1776193.

It is an arithmetic number, because the mean of its divisors is an integer number (54074790).

Almost surely, 2^2533609960 is an apocalyptic number.

2533609960 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 2533609960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460786560).

2533609960 is an abundant number, since it is smaller than the sum of its proper divisors (4387963160).

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

2533609960 is a wasteful number, since it uses less digits than its factorization.

2533609960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 43.

The square root of 2533609960 is about 50334.9775007400. The cubic root of 2533609960 is about 1363.2638520207.

The spelling of 2533609960 in words is "two billion, five hundred thirty-three million, six hundred nine thousand, nine hundred sixty".