2352577248 has 72 divisors (see below), whose sum is σ = 7645882608. Its totient is φ = 672164352.

The previous prime is 2352577247. The next prime is 2352577273. The reversal of 2352577248 is 8427752532.

2352577248 is a `hidden beast` number, since 2 + 3 + 52 + 577 + 24 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352577243) 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, 581461 + ... + 585492.

It is an arithmetic number, because the mean of its divisors is an integer number (106192814).

Almost surely, 2^2352577248 is an apocalyptic number.

2352577248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2352577248 is an abundant number, since it is smaller than the sum of its proper divisors (5293305360).

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

2352577248 is a wasteful number, since it uses less digits than its factorization.

2352577248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166976 (or 1166965 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 2352577248 is about 48503.3735733918. The cubic root of 2352577248 is about 1329.9887401764.

The spelling of 2352577248 in words is "two billion, three hundred fifty-two million, five hundred seventy-seven thousand, two hundred forty-eight".