2478636720 has 320 divisors, whose sum is σ = 10332195840. Its totient is φ = 533164032.

The previous prime is 2478636709. The next prime is 2478636761. The reversal of 2478636720 is 276368742.

2478636720 is a `hidden beast` number, since 2 + 4 + 7 + 8 + 636 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×2478636720² = 12287279979464716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252219 + ... + 261861.

It is an arithmetic number, because the mean of its divisors is an integer number (32288112).

Almost surely, 2^2478636720 is an apocalyptic number.

2478636720 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 2478636720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166097920).

2478636720 is an abundant number, since it is smaller than the sum of its proper divisors (7853559120).

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

2478636720 is a wasteful number, since it uses less digits than its factorization.

2478636720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2478636720 is about 49785.9088497940. The cubic root of 2478636720 is about 1353.3318196386.

The spelling of 2478636720 in words is "two billion, four hundred seventy-eight million, six hundred thirty-six thousand, seven hundred twenty".