2507960 has 96 divisors (see below), whose sum is σ = 7115040. Its totient is φ = 778752.

The previous prime is 2507957. The next prime is 2507963. The reversal of 2507960 is 697052.

It is an interprime number because it is at equal distance from previous prime (2507957) and next prime (2507963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47294 + ... + 47346.

It is an arithmetic number, because the mean of its divisors is an integer number (74115).

2^2507960 is an apocalyptic number.

2507960 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 2507960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557520).

2507960 is an abundant number, since it is smaller than the sum of its proper divisors (4607080).

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

2507960 is a wasteful number, since it uses less digits than its factorization.

2507960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 2507960 is about 1583.6540026155. The cubic root of 2507960 is about 135.8647733146.

The spelling of 2507960 in words is "two million, five hundred seven thousand, nine hundred sixty".