2478701456 has 360 divisors, whose sum is σ = 6852920760. Its totient is φ = 861020160.

The previous prime is 2478701413. The next prime is 2478701483. The reversal of 2478701456 is 6541078742.

It can be written as a sum of positive squares in 4 ways, for example, as 948640000 + 1530061456 = 30800^2 + 39116^2 .

It is a super-2 number, since 2×2478701456² = 12287921815953039872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 71 ways as a sum of consecutive naturals, for example, 46767926 + ... + 46767978.

It is an arithmetic number, because the mean of its divisors is an integer number (19035891).

Almost surely, 2^2478701456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478701456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426460380).

2478701456 is an abundant number, since it is smaller than the sum of its proper divisors (4374219304).

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

2478701456 is a wasteful number, since it uses less digits than its factorization.

2478701456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The square root of 2478701456 is about 49786.5589893497. The cubic root of 2478701456 is about 1353.3436014547.

The spelling of 2478701456 in words is "two billion, four hundred seventy-eight million, seven hundred one thousand, four hundred fifty-six".