2352972288 has 80 divisors (see below), whose sum is σ = 6421526496. Its totient is φ = 765173760.

The previous prime is 2352972287. The next prime is 2352972301. The reversal of 2352972288 is 8822792532.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2352972283) 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 7 ways as a sum of consecutive naturals, for example, 44295 + ... + 81657.

Almost surely, 2^2352972288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210763248).

2352972288 is an abundant number, since it is smaller than the sum of its proper divisors (4068554208).

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

2352972288 is an equidigital number, since it uses as much as digits as its factorization.

2352972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37425 (or 37409 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 2352972288 is about 48507.4456965114. The cubic root of 2352972288 is about 1330.0631790139.

The spelling of 2352972288 in words is "two billion, three hundred fifty-two million, nine hundred seventy-two thousand, two hundred eighty-eight".