2088620500 has 48 divisors (see below), whose sum is σ = 4569246864. Its totient is φ = 834038400.

The previous prime is 2088620497. The next prime is 2088620503. The reversal of 2088620500 is 50268802.

2088620500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2088620497) and next prime (2088620503).

It can be written as a sum of positive squares in 8 ways, for example, as 1650471876 + 438148624 = 40626^2 + 20932^2 .

It is a super-3 number, since 3×2088620500³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088620503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323302 + ... + 329698.

It is an arithmetic number, because the mean of its divisors is an integer number (95192643).

Almost surely, 2^2088620500 is an apocalyptic number.

2088620500 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 2088620500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284623432).

2088620500 is an abundant number, since it is smaller than the sum of its proper divisors (2480626364).

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

2088620500 is a wasteful number, since it uses less digits than its factorization.

2088620500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2088620500 is about 45701.4277676311. The cubic root of 2088620500 is about 1278.2619028077.

It can be divided in two parts, 20 and 88620500, that multiplied together give a square (1772410000 = 42100²).

The spelling of 2088620500 in words is "two billion, eighty-eight million, six hundred twenty thousand, five hundred".