2478736 has 40 divisors (see below), whose sum is σ = 5484024. Its totient is φ = 1075200.

The previous prime is 2478731. The next prime is 2478743. The reversal of 2478736 is 6378742.

It can be written as a sum of positive squares in 4 ways, for example, as 672400 + 1806336 = 820^2 + 1344^2 .

It is a super-2 number, since 2×2478736² = 12288264315392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2478695 and 2478704.

It is not an unprimeable number, because it can be changed into a prime (2478731) by changing a digit.

It is a nontrivial repunit in base 135.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3186 + ... + 3886.

2^2478736 is an apocalyptic number.

2478736 is a gapful number since it is divisible by the number (26) 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 2478736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742012).

2478736 is an abundant number, since it is smaller than the sum of its proper divisors (3005288).

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

2478736 is a wasteful number, since it uses less digits than its factorization.

2478736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 2478736 is about 1574.4002032520. The cubic root of 2478736 is about 135.3349888306.

The spelling of 2478736 in words is "two million, four hundred seventy-eight thousand, seven hundred thirty-six".