2578476768 has 384 divisors, whose sum is σ = 8717829120. Its totient is φ = 650280960.

The previous prime is 2578476763. The next prime is 2578476779. The reversal of 2578476768 is 8676748752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578476763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14245638 + ... + 14245818.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2^2578476768 is an apocalyptic number.

2578476768 is a gapful number since it is divisible by the number (28) 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 2578476768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358914560).

2578476768 is an abundant number, since it is smaller than the sum of its proper divisors (6139352352).

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

2578476768 is a wasteful number, since it uses less digits than its factorization.

2578476768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 60.

The square root of 2578476768 is about 50778.7038826317. The cubic root of 2578476768 is about 1371.2639990516.

The spelling of 2578476768 in words is "two billion, five hundred seventy-eight million, four hundred seventy-six thousand, seven hundred sixty-eight".