2533680 has 200 divisors, whose sum is σ = 9722592. Its totient is φ = 608256.

The previous prime is 2533673. The next prime is 2533681. The reversal of 2533680 is 863352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2533681) 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, 110149 + ... + 110171.

2^2533680 is an apocalyptic number.

2533680 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 2533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861296).

2533680 is an abundant number, since it is smaller than the sum of its proper divisors (7188912).

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

2533680 is a wasteful number, since it uses less digits than its factorization.

2533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2533680 is about 1591.7537497993. The cubic root of 2533680 is about 136.3276414086.

The spelling of 2533680 in words is "two million, five hundred thirty-three thousand, six hundred eighty".