2088322560 has 320 divisors, whose sum is σ = 7529607360. Its totient is φ = 555393024.

The previous prime is 2088322553. The next prime is 2088322573. The reversal of 2088322560 is 652238802.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2088322560² = 8722182229209907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 5598534 + ... + 5598906.

It is an arithmetic number, because the mean of its divisors is an integer number (23530023).

Almost surely, 2^2088322560 is an apocalyptic number.

2088322560 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 2088322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764803680).

2088322560 is an abundant number, since it is smaller than the sum of its proper divisors (5441284800).

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

2088322560 is an frugal number, since it uses more digits than its factorization.

2088322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2088322560 is about 45698.1680157969. The cubic root of 2088322560 is about 1278.2011189136.

The spelling of 2088322560 in words is "two billion, eighty-eight million, three hundred twenty-two thousand, five hundred sixty".