2533160 has 64 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 850176.

The previous prime is 2533127. The next prime is 2533163. The reversal of 2533160 is 613352.

2533160 = T₈₅ + T₈₆ + ... + T₂₅₀.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2533163) 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, 23186 + ... + 23294.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

2^2533160 is an apocalyptic number.

2533160 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 2533160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2533160 is an abundant number, since it is smaller than the sum of its proper divisors (4119640).

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

2533160 is a wasteful number, since it uses less digits than its factorization.

2533160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 2533160 is about 1591.5903995689. The cubic root of 2533160 is about 136.3183143660.

It can be divided in two parts, 253 and 3160, that multiplied together give a triangular number (799480 = T₁₂₆₄).

The spelling of 2533160 in words is "two million, five hundred thirty-three thousand, one hundred sixty".