2578617360 has 480 divisors, whose sum is σ = 9958291200. Its totient is φ = 592220160.

The previous prime is 2578617343. The next prime is 2578617367. The reversal of 2578617360 is 637168752.

2578617360 is a `hidden beast` number, since 2 + 578 + 6 + 1 + 73 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2578617367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23656986 + ... + 23657094.

It is an arithmetic number, because the mean of its divisors is an integer number (20746440).

Almost surely, 2^2578617360 is an apocalyptic number.

2578617360 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 2578617360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979145600).

2578617360 is an abundant number, since it is smaller than the sum of its proper divisors (7379673840).

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

2578617360 is a wasteful number, since it uses less digits than its factorization.

2578617360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2578617360 is about 50780.0882236335. The cubic root of 2578617360 is about 1371.2889214201.

The spelling of 2578617360 in words is "two billion, five hundred seventy-eight million, six hundred seventeen thousand, three hundred sixty".