2445895139328 has 432 divisors, whose sum is σ = 7510321452816. Its totient is φ = 794988380160.

The previous prime is 2445895139323. The next prime is 2445895139341. The reversal of 2445895139328 is 8239315985442.

2445895139328 is a `hidden beast` number, since 2 + 4 + 4 + 5 + 8 + 9 + 513 + 93 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445895139323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305869400 + ... + 1305871272.

It is an arithmetic number, because the mean of its divisors is an integer number (17385003363).

Almost surely, 2^{2445895139328} 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 2445895139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755160726408).

2445895139328 is an abundant number, since it is smaller than the sum of its proper divisors (5064426313488).

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

2445895139328 is an frugal number, since it uses more digits than its factorization.

2445895139328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1919 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 2445895139328 in words is "two trillion, four hundred forty-five billion, eight hundred ninety-five million, one hundred thirty-nine thousand, three hundred twenty-eight".