2516640 has 144 divisors (see below), whose sum is σ = 9307872. Its totient is φ = 569856.

The previous prime is 2516603. The next prime is 2516659. The reversal of 2516640 is 466152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2516640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23467 + ... + 23573.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

2^2516640 is an apocalyptic number.

2516640 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 2516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936).

2516640 is an abundant number, since it is smaller than the sum of its proper divisors (6791232).

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

2516640 is a wasteful number, since it uses less digits than its factorization.

2516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2516640 is about 1586.3921331121. The cubic root of 2516640 is about 136.0213346000.

The spelling of 2516640 in words is "two million, five hundred sixteen thousand, six hundred forty".