2888001145744 has 135 divisors (see below), whose sum is σ = 6662173376817. Its totient is φ = 1211340873600.

The previous prime is 2888001145723. The next prime is 2888001145787. The reversal of 2888001145744 is 4475411008882.

It is a happy number.

The square root of 2888001145744 is 1699412.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 427219104400 + 2460782041344 = 653620^2 + 1568688^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2888001145691 and 2888001145700.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 972062179 + ... + 972065149.

Almost surely, 2^{2888001145744} is an apocalyptic number.

2888001145744 is the 1699412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2888001145744

2888001145744 is an abundant number, since it is smaller than the sum of its proper divisors (3774172231073).

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

2888001145744 is an equidigital number, since it uses as much as digits as its factorization.

2888001145744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 52.

The spelling of 2888001145744 in words is "two trillion, eight hundred eighty-eight billion, one million, one hundred forty-five thousand, seven hundred forty-four".