2478960 has 120 divisors (see below), whose sum is σ = 9111024. Its totient is φ = 599040.

The previous prime is 2478953. The next prime is 2478997. The reversal of 2478960 is 698742.

2478960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2478960² = 12290485363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7764 + ... + 8076.

2^2478960 is an apocalyptic number.

2478960 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 2478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555512).

2478960 is an abundant number, since it is smaller than the sum of its proper divisors (6632064).

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

2478960 is a wasteful number, since it uses less digits than its factorization.

2478960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2478960 is about 1574.4713398471. The cubic root of 2478960 is about 135.3390653874.

The spelling of 2478960 in words is "two million, four hundred seventy-eight thousand, nine hundred sixty".