2578668752 has 80 divisors (see below), whose sum is σ = 5785552320. Its totient is φ = 1110257280.

The previous prime is 2578668721. The next prime is 2578668761.

It is a happy number.

2578668752 is nontrivially palindromic in base 10.

2578668752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401438 + ... + 407810.

It is an arithmetic number, because the mean of its divisors is an integer number (72319404).

Almost surely, 2^2578668752 is an apocalyptic number.

2578668752 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 2578668752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892776160).

2578668752 is an abundant number, since it is smaller than the sum of its proper divisors (3206883568).

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

2578668752 is a wasteful number, since it uses less digits than its factorization.

2578668752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6405 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 56.

The square root of 2578668752 is about 50780.5942462276. The cubic root of 2578668752 is about 1371.2980313166.

The spelling of 2578668752 in words is "two billion, five hundred seventy-eight million, six hundred sixty-eight thousand, seven hundred fifty-two".