2153105880 has 128 divisors (see below), whose sum is σ = 6636038400. Its totient is φ = 558656000.

The previous prime is 2153105869. The next prime is 2153105881. The reversal of 2153105880 is 885013512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153105881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713575 + ... + 716585.

It is an arithmetic number, because the mean of its divisors is an integer number (51844050).

Almost surely, 2^2153105880 is an apocalyptic number.

2153105880 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 2153105880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318019200).

2153105880 is an abundant number, since it is smaller than the sum of its proper divisors (4482932520).

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

2153105880 is a wasteful number, since it uses less digits than its factorization.

2153105880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 2153105880 is about 46401.5719561310. The cubic root of 2153105880 is about 1291.2840768424.

The spelling of 2153105880 in words is "two billion, one hundred fifty-three million, one hundred five thousand, eight hundred eighty".