2445828736 has 64 divisors (see below), whose sum is σ = 5346560520. Its totient is φ = 1107505152.

The previous prime is 2445828689. The next prime is 2445828757. The reversal of 2445828736 is 6378285442.

It can be written as a sum of positive squares in 4 ways, for example, as 1595523136 + 850305600 = 39944^2 + 29160^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2445828736.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74326 + ... + 102058.

Almost surely, 2^2445828736 is an apocalyptic number.

2445828736 is a gapful number since it is divisible by the number (26) 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 2445828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673280260).

2445828736 is an abundant number, since it is smaller than the sum of its proper divisors (2900731784).

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

2445828736 is a wasteful number, since it uses less digits than its factorization.

2445828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27813 (or 27801 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

The square root of 2445828736 is about 49455.3206035508. The cubic root of 2445828736 is about 1347.3342431811.

The spelling of 2445828736 in words is "two billion, four hundred forty-five million, eight hundred twenty-eight thousand, seven hundred thirty-six".