2507680 has 48 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 859392.

The previous prime is 2507671. The next prime is 2507689. The reversal of 2507680 is 867052.

2507680 is a nontrivial binomial coefficient, being equal to C(2240, 2).

It is an interprime number because it is at equal distance from previous prime (2507671) and next prime (2507689).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2507689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 2239.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

2^2507680 is an apocalyptic number.

2507680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2507680 is the 2239-th triangular number and also the 1120-th hexagonal number.

2507680 is the 747-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2507680 is an abundant number, since it is smaller than the sum of its proper divisors (4266080).

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

2507680 is a wasteful number, since it uses less digits than its factorization.

2507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2507680 is about 1583.5655969994. The cubic root of 2507680 is about 135.8597169404.

The spelling of 2507680 in words is "two million, five hundred seven thousand, six hundred eighty".