2582140 has 48 divisors (see below), whose sum is σ = 6025824. Its totient is φ = 929280.

The previous prime is 2582093. The next prime is 2582143. The reversal of 2582140 is 412852.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26572 + ... + 26668.

It is an arithmetic number, because the mean of its divisors is an integer number (125538).

2^2582140 is an apocalyptic number.

2582140 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 2582140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012912).

2582140 is an abundant number, since it is smaller than the sum of its proper divisors (3443684).

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

2582140 is a wasteful number, since it uses less digits than its factorization.

2582140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2582140 is about 1606.9038552446. The cubic root of 2582140 is about 137.1913074927.

2582140 divided by its sum of digits (22) gives a triangular number (117370 = T₄₈₄).

Adding to 2582140 its reverse (412852), we get a palindrome (2994992).

The spelling of 2582140 in words is "two million, five hundred eighty-two thousand, one hundred forty".