2088124416 has 405 divisors, whose sum is σ = 7454066529. Its totient is φ = 561512448.

The previous prime is 2088124403. The next prime is 2088124427. The reversal of 2088124416 is 6144218802.

The square root of 2088124416 is 45696.

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

2088124416 is a `hidden beast` number, since 208 + 8 + 1 + 2 + 441 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1625702400 + 462422016 = 40320^2 + 21504^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122830840 + ... + 122830856.

Almost surely, 2^2088124416 is an apocalyptic number.

2088124416 is the 45696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088124416

2088124416 is an abundant number, since it is smaller than the sum of its proper divisors (5365942113).

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

2088124416 is an equidigital number, since it uses as much as digits as its factorization.

2088124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 2088124416 is about 1278.1606915872.

Multiplying 2088124416 by its sum of digits (36), we get a square (75172478976 = 274176²).

2088124416 divided by its sum of digits (36) gives a square (58003456 = 7616²).

The spelling of 2088124416 in words is "two billion, eighty-eight million, one hundred twenty-four thousand, four hundred sixteen".