2888744040 has 1152 divisors, whose sum is σ = 13518576000. Its totient is φ = 543449088.

The previous prime is 2888744029. The next prime is 2888744063. The reversal of 2888744040 is 404478882.

It is a happy number.

2888744040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 152039151 + ... + 152039169.

It is an arithmetic number, because the mean of its divisors is an integer number (11734875).

Almost surely, 2^2888744040 is an apocalyptic number.

2888744040 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 2888744040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759288000).

2888744040 is an abundant number, since it is smaller than the sum of its proper divisors (10629831960).

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

2888744040 is a wasteful number, since it uses less digits than its factorization.

2888744040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 2888744040 is about 53747.0374997543. The cubic root of 2888744040 is about 1424.1957567119.

It can be divided in two parts, 28887 and 44040, that added together give a palindrome (72927).

The spelling of 2888744040 in words is "two billion, eight hundred eighty-eight million, seven hundred forty-four thousand, forty".