2451680 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 760320.

The previous prime is 2451671. The next prime is 2451719. The reversal of 2451680 is 861542.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12221 + ... + 12419.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2451680 is an apocalyptic number.

2451680 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 2451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2451680 is an abundant number, since it is smaller than the sum of its proper divisors (4805920).

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

2451680 is a wasteful number, since it uses less digits than its factorization.

2451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2451680 is about 1565.7841485978. The cubic root of 2451680 is about 134.8407816569.

The spelling of 2451680 in words is "two million, four hundred fifty-one thousand, six hundred eighty".