2478407680 has 128 divisors (see below), whose sum is σ = 6800960160. Its totient is φ = 849346560.

The previous prime is 2478407663. The next prime is 2478407717. The reversal of 2478407680 is 867048742.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2478407680² = 12285009256565964800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2478407680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145800 + ... + 1147960.

Almost surely, 2^2478407680 is an apocalyptic number.

2478407680 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 2478407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400480080).

2478407680 is an abundant number, since it is smaller than the sum of its proper divisors (4322552480).

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

2478407680 is an frugal number, since it uses more digits than its factorization.

2478407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The square root of 2478407680 is about 49783.6085473924. The cubic root of 2478407680 is about 1353.2901331925.

The spelling of 2478407680 in words is "two billion, four hundred seventy-eight million, four hundred seven thousand, six hundred eighty".