2578935360 has 224 divisors, whose sum is σ = 9127175040. Its totient is φ = 613122048.

The previous prime is 2578935323. The next prime is 2578935361. The reversal of 2578935360 is 635398752.

It is a happy number.

2578935360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2578935361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305922 + ... + 314238.

Almost surely, 2^2578935360 is an apocalyptic number.

2578935360 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 2578935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563587520).

2578935360 is an abundant number, since it is smaller than the sum of its proper divisors (6548239680).

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

2578935360 is a wasteful number, since it uses less digits than its factorization.

2578935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8373 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 2578935360 is about 50783.2192756623. The cubic root of 2578935360 is about 1371.3452890895.

The spelling of 2578935360 in words is "two billion, five hundred seventy-eight million, nine hundred thirty-five thousand, three hundred sixty".