2578701312 has 352 divisors, whose sum is σ = 8528620800. Its totient is φ = 763084800.

The previous prime is 2578701311. The next prime is 2578701317. The reversal of 2578701312 is 2131078752.

2578701312 is a `hidden beast` number, since 2 + 578 + 70 + 1 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578701311) 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, 18551739 + ... + 18551877.

Almost surely, 2^2578701312 is an apocalyptic number.

2578701312 is a gapful number since it is divisible by the number (22) 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 2578701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264310400).

2578701312 is an abundant number, since it is smaller than the sum of its proper divisors (5949919488).

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

2578701312 is a wasteful number, since it uses less digits than its factorization.

2578701312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2578701312 is about 50780.9148401247. The cubic root of 2578701312 is about 1371.3038029350.

The spelling of 2578701312 in words is "two billion, five hundred seventy-eight million, seven hundred one thousand, three hundred twelve".