2578961952 has 144 divisors (see below), whose sum is σ = 8488247040. Its totient is φ = 727474176.

The previous prime is 2578961939. The next prime is 2578961953. The reversal of 2578961952 is 2591698752.

2578961952 is a `hidden beast` number, since 2 + 578 + 9 + 6 + 19 + 52 = 666.

2578961952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2578961953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151168 + ... + 167360.

It is an arithmetic number, because the mean of its divisors is an integer number (58946160).

Almost surely, 2^2578961952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2578961952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244123520).

2578961952 is an abundant number, since it is smaller than the sum of its proper divisors (5909285088).

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

2578961952 is a wasteful number, since it uses less digits than its factorization.

2578961952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16295 (or 16284 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 2578961952 is about 50783.4810937572. The cubic root of 2578961952 is about 1371.3500024929.

The spelling of 2578961952 in words is "two billion, five hundred seventy-eight million, nine hundred sixty-one thousand, nine hundred fifty-two".