2558960352 has 72 divisors (see below), whose sum is σ = 7836827544. Its totient is φ = 787371264.

The previous prime is 2558960351. The next prime is 2558960357. The reversal of 2558960352 is 2530698552.

2558960352 is a `hidden beast` number, since 2 + 5 + 589 + 60 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2558960298 and 2558960307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558960351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337998 + ... + 345485.

It is an arithmetic number, because the mean of its divisors is an integer number (108844827).

Almost surely, 2^2558960352 is an apocalyptic number.

It is an amenable number.

2558960352 is an abundant number, since it is smaller than the sum of its proper divisors (5277867192).

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

2558960352 is a wasteful number, since it uses less digits than its factorization.

2558960352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683512 (or 683501 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 2558960352 is about 50586.1675954999. The cubic root of 2558960352 is about 1367.7955475720.

The spelling of 2558960352 in words is "two billion, five hundred fifty-eight million, nine hundred sixty thousand, three hundred fifty-two".