2478296736 has 336 divisors, whose sum is σ = 7932556800. Its totient is φ = 759559680.

The previous prime is 2478296693. The next prime is 2478296791. The reversal of 2478296736 is 6376928742.

It is a super-2 number, since 2×2478296736² = 12283909423336507392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16632790 + ... + 16632938.

It is an arithmetic number, because the mean of its divisors is an integer number (23608800).

Almost surely, 2^2478296736 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 2478296736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966278400).

2478296736 is an abundant number, since it is smaller than the sum of its proper divisors (5454260064).

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

2478296736 is a wasteful number, since it uses less digits than its factorization.

2478296736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 2478296736 is about 49782.4942725854. The cubic root of 2478296736 is about 1353.2699398963.

The spelling of 2478296736 in words is "two billion, four hundred seventy-eight million, two hundred ninety-six thousand, seven hundred thirty-six".