2690288991744 has 160 divisors (see below), whose sum is σ = 7620461544960. Its totient is φ = 840478851072.

The previous prime is 2690288991743. The next prime is 2690288991749. The reversal of 2690288991744 is 4471998820962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2690288991743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6025227 + ... + 6456309.

It is an arithmetic number, because the mean of its divisors is an integer number (47627884656).

Almost surely, 2^{2690288991744} is an apocalyptic number.

2690288991744 is a gapful number since it is divisible by the number (24) 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 2690288991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810230772480).

2690288991744 is an abundant number, since it is smaller than the sum of its proper divisors (4930172553216).

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

2690288991744 is a wasteful number, since it uses less digits than its factorization.

2690288991744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431360 (or 431344 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 2690288991744 in words is "two trillion, six hundred ninety billion, two hundred eighty-eight million, nine hundred ninety-one thousand, seven hundred forty-four".