2445877728 has 144 divisors (see below), whose sum is σ = 8298657360. Its totient is φ = 698810112.

The previous prime is 2445877727. The next prime is 2445877729. The reversal of 2445877728 is 8277785442.

It is an interprime number because it is at equal distance from previous prime (2445877727) and next prime (2445877729).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445877727) 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, 13450 + ... + 71222.

It is an arithmetic number, because the mean of its divisors is an integer number (57629565).

Almost surely, 2^2445877728 is an apocalyptic number.

2445877728 is a gapful number since it is divisible by the number (28) 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 2445877728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149328680).

2445877728 is an abundant number, since it is smaller than the sum of its proper divisors (5852779632).

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

2445877728 is a wasteful number, since it uses less digits than its factorization.

2445877728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57806 (or 57785 counting only the distinct ones).

The product of its digits is 7024640, while the sum is 54.

The square root of 2445877728 is about 49455.8159168363. The cubic root of 2445877728 is about 1347.3432391992.

The spelling of 2445877728 in words is "two billion, four hundred forty-five million, eight hundred seventy-seven thousand, seven hundred twenty-eight".