2352638016 has 189 divisors, whose sum is σ = 7053899151. Its totient is φ = 749677824.

The previous prime is 2352638009. The next prime is 2352638023. The reversal of 2352638016 is 6108362532.

It is a happy number.

The square root of 2352638016 is 48504.

It is a perfect power (a square), and thus also a powerful number.

2352638016 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 638 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2352638009) and next prime (2352638023).

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

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 50056105 + ... + 50056151.

Almost surely, 2^2352638016 is an apocalyptic number.

2352638016 is the 48504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352638016

2352638016 is an abundant number, since it is smaller than the sum of its proper divisors (4701261135).

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

2352638016 is an equidigital number, since it uses as much as digits as its factorization.

2352638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 2352638016 is about 1330.0001914561. Note that the first 3 decimals are identical.

Multiplying 2352638016 by its sum of digits (36), we get a square (84694968576 = 291024²).

2352638016 divided by its sum of digits (36) gives a square (65351056 = 8084²).

The spelling of 2352638016 in words is "two billion, three hundred fifty-two million, six hundred thirty-eight thousand, sixteen".