2088626100 has 288 divisors, whose sum is σ = 6929556480. Its totient is φ = 481152000.

The previous prime is 2088626087. The next prime is 2088626117. The reversal of 2088626100 is 16268802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5817721 + ... + 5818079.

It is an arithmetic number, because the mean of its divisors is an integer number (24060960).

Almost surely, 2^2088626100 is an apocalyptic number.

2088626100 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 2088626100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464778240).

2088626100 is an abundant number, since it is smaller than the sum of its proper divisors (4840930380).

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

2088626100 is a wasteful number, since it uses less digits than its factorization.

2088626100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2088626100 is about 45701.4890348225. The cubic root of 2088626100 is about 1278.2630452301.

The spelling of 2088626100 in words is "two billion, eighty-eight million, six hundred twenty-six thousand, one hundred".