2578287360 has 432 divisors, whose sum is σ = 9395205120. Its totient is φ = 601497600.

The previous prime is 2578287359. The next prime is 2578287377. The reversal of 2578287360 is 637828752.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14403751 + ... + 14403929.

It is an arithmetic number, because the mean of its divisors is an integer number (21748160).

Almost surely, 2^2578287360 is an apocalyptic number.

2578287360 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 2578287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697602560).

2578287360 is an abundant number, since it is smaller than the sum of its proper divisors (6816917760).

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

2578287360 is a wasteful number, since it uses less digits than its factorization.

2578287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 2578287360 is about 50776.8388145619. The cubic root of 2578287360 is about 1371.2304217687.

The spelling of 2578287360 in words is "two billion, five hundred seventy-eight million, two hundred eighty-seven thousand, three hundred sixty".