2148047616 has 144 divisors (see below), whose sum is σ = 6716747520. Its totient is φ = 600821760.

The previous prime is 2148047609. The next prime is 2148047621. The reversal of 2148047616 is 6167408412.

It is a super-2 number, since 2×2148047616² = 9228217121206566912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100045 + ... + 119603.

It is an arithmetic number, because the mean of its divisors is an integer number (46644080).

Almost surely, 2^2148047616 is an apocalyptic number.

2148047616 is a gapful number since it is divisible by the number (26) 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 2148047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358373760).

2148047616 is an abundant number, since it is smaller than the sum of its proper divisors (4568699904).

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

2148047616 is a wasteful number, since it uses less digits than its factorization.

2148047616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19602 (or 19588 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2148047616 is about 46347.0345976957. The cubic root of 2148047616 is about 1290.2720849074.

It can be divided in two parts, 21480 and 47616, that added together give a palindrome (69096).

The spelling of 2148047616 in words is "two billion, one hundred forty-eight million, forty-seven thousand, six hundred sixteen".