2352000040 has 48 divisors (see below), whose sum is σ = 5730407100. Its totient is φ = 868428288.

The previous prime is 2352000023. The next prime is 2352000041. The reversal of 2352000040 is 400002532.

It can be written as a sum of positive squares in 6 ways, for example, as 495596644 + 1856403396 = 22262^2 + 43086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2351999978 and 2352000023.

It is not an unprimeable number, because it can be changed into a prime (2352000041) 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 11 ways as a sum of consecutive naturals, for example, 167205 + ... + 180724.

Almost surely, 2^2352000040 is an apocalyptic number.

2352000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2352000040 is an abundant number, since it is smaller than the sum of its proper divisors (3378407060).

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

2352000040 is a wasteful number, since it uses less digits than its factorization.

2352000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347966 (or 347949 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2352000040 is about 48497.4230243216. The cubic root of 2352000040 is about 1329.8799597692.

Adding to 2352000040 its reverse (400002532), we get a palindrome (2752002572).

The spelling of 2352000040 in words is "two billion, three hundred fifty-two million, forty", and thus it is an aban number.