2088011520 has 648 divisors, whose sum is σ = 8778644784. Its totient is φ = 473776128.

The previous prime is 2088011477. The next prime is 2088011531. The reversal of 2088011520 is 251108802.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 15240892 + ... + 15241028.

Almost surely, 2^2088011520 is an apocalyptic number.

2088011520 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 2088011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389322392).

2088011520 is an abundant number, since it is smaller than the sum of its proper divisors (6690633264).

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

2088011520 is an equidigital number, since it uses as much as digits as its factorization.

2088011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2088011520 is about 45694.7646891851. The cubic root of 2088011520 is about 1278.1376562692.

It can be divided in two parts, 20880 and 11520, that added together give a square (32400 = 180²).

The spelling of 2088011520 in words is "two billion, eighty-eight million, eleven thousand, five hundred twenty".