2652432000 has 128 divisors (see below), whose sum is σ = 8792971200. Its totient is φ = 707302400.

The previous prime is 2652431989. The next prime is 2652432037. The reversal of 2652432000 is 2342562.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20371 + ... + 75629.

Almost surely, 2^2652432000 is an apocalyptic number.

2652432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396485600).

2652432000 is an abundant number, since it is smaller than the sum of its proper divisors (6140539200).

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

2652432000 is an equidigital number, since it uses as much as digits as its factorization.

2652432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55291 (or 55269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2652432000 is about 51501.7669599791. The cubic root of 2652432000 is about 1384.2507035786.

Adding to 2652432000 its reverse (2342562), we get a palindrome (2654774562).

The spelling of 2652432000 in words is "two billion, six hundred fifty-two million, four hundred thirty-two thousand".