2509680 has 40 divisors (see below), whose sum is σ = 7780752. Its totient is φ = 669184.

The previous prime is 2509679. The next prime is 2509687. The reversal of 2509680 is 869052.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509687) 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, 4989 + ... + 5468.

2^2509680 is an apocalyptic number.

2509680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2509680 is an abundant number, since it is smaller than the sum of its proper divisors (5271072).

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

2509680 is a wasteful number, since it uses less digits than its factorization.

2509680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2509680 is about 1584.1969574519. The cubic root of 2509680 is about 135.8958256451.

The spelling of 2509680 in words is "two million, five hundred nine thousand, six hundred eighty".