2478784896 has 256 divisors, whose sum is σ = 8473344000. Its totient is φ = 698720256.

The previous prime is 2478784883. The next prime is 2478784921. The reversal of 2478784896 is 6984878742.

2478784896 is a `hidden beast` number, since 2 + 478 + 7 + 84 + 89 + 6 = 666.

It is a super-2 number, since 2×2478784896² = 12288749121275461632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910520 + ... + 1911816.

It is an arithmetic number, because the mean of its divisors is an integer number (33099000).

Almost surely, 2^2478784896 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 2478784896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236672000).

2478784896 is an abundant number, since it is smaller than the sum of its proper divisors (5994559104).

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

2478784896 is a wasteful number, since it uses less digits than its factorization.

2478784896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1388 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 2478784896 is about 49787.3969594716. The cubic root of 2478784896 is about 1353.3587870569.

The spelling of 2478784896 in words is "two billion, four hundred seventy-eight million, seven hundred eighty-four thousand, eight hundred ninety-six".