2352581640 has 96 divisors (see below), whose sum is σ = 7832424600. Its totient is φ = 612049920.

The previous prime is 2352581633. The next prime is 2352581641. The reversal of 2352581640 is 461852532.

2352581640 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 5 + 8 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1814248836 + 538332804 = 42594^2 + 23202^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2352581595 and 2352581604.

It is not an unprimeable number, because it can be changed into a prime (2352581641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64935 + ... + 94454.

Almost surely, 2^2352581640 is an apocalyptic number.

2352581640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2352581640 is an abundant number, since it is smaller than the sum of its proper divisors (5479842960).

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

2352581640 is a wasteful number, since it uses less digits than its factorization.

2352581640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159447 (or 159440 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2352581640 is about 48503.4188485719. The cubic root of 2352581640 is about 1329.9895678229.

The spelling of 2352581640 in words is "two billion, three hundred fifty-two million, five hundred eighty-one thousand, six hundred forty".