2445652000 has 288 divisors, whose sum is σ = 6859786752. Its totient is φ = 855360000.

The previous prime is 2445651973. The next prime is 2445652007. The reversal of 2445652000 is 2565442.

It is a self number, because there is not a number n which added to its sum of digits gives 2445652000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445652007) 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 47 ways as a sum of consecutive naturals, for example, 15003919 + ... + 15004081.

It is an arithmetic number, because the mean of its divisors is an integer number (23818704).

Almost surely, 2^2445652000 is an apocalyptic number.

2445652000 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 2445652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429893376).

2445652000 is an abundant number, since it is smaller than the sum of its proper divisors (4414134752).

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

2445652000 is a wasteful number, since it uses less digits than its factorization.

2445652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2445652000 is about 49453.5337463361. The cubic root of 2445652000 is about 1347.3017895323.

The spelling of 2445652000 in words is "two billion, four hundred forty-five million, six hundred fifty-two thousand".