2478720 has 64 divisors (see below), whose sum is σ = 7907040. Its totient is φ = 660480.

The previous prime is 2478713. The next prime is 2478727. The reversal of 2478720 is 278742.

It is an interprime number because it is at equal distance from previous prime (2478713) and next prime (2478727).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2478720² = 12288105676800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2478727) 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, 1275 + ... + 2565.

2^2478720 is an apocalyptic number.

2478720 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 2478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953520).

2478720 is an abundant number, since it is smaller than the sum of its proper divisors (5428320).

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

2478720 is a wasteful number, since it uses less digits than its factorization.

2478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2478720 is about 1574.3951219437. The cubic root of 2478720 is about 135.3346976386.

The spelling of 2478720 in words is "two million, four hundred seventy-eight thousand, seven hundred twenty".