2478833280 has 1024 divisors, whose sum is σ = 11562393600. Its totient is φ = 492687360.

The previous prime is 2478833249. The next prime is 2478833293. The reversal of 2478833280 is 823388742.

2478833280 is a `hidden beast` number, since 247 + 8 + 83 + 328 + 0 = 666.

It is a super-2 number, since 2×2478833280² = 12289228860071116800, 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 127 ways as a sum of consecutive naturals, for example, 107775349 + ... + 107775371.

It is an arithmetic number, because the mean of its divisors is an integer number (11291400).

Almost surely, 2^2478833280 is an apocalyptic number.

2478833280 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 2478833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781196800).

2478833280 is an abundant number, since it is smaller than the sum of its proper divisors (9083560320).

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

2478833280 is an equidigital number, since it uses as much as digits as its factorization.

2478833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2478833280 is about 49787.8828632028. The cubic root of 2478833280 is about 1353.3675925117.

The spelling of 2478833280 in words is "two billion, four hundred seventy-eight million, eight hundred thirty-three thousand, two hundred eighty".