2088418680000 has 560 divisors, whose sum is σ = 7835423861760. Its totient is φ = 545049216000.

The previous prime is 2088418679923. The next prime is 2088418680031. The reversal of 2088418680000 is 868148802.

It is a happy number.

It is a super-2 number, since 2×2088418680000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50739429 + ... + 50780571.

Almost surely, 2^{2088418680000} is an apocalyptic number.

2088418680000 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 2088418680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917711930880).

2088418680000 is an abundant number, since it is smaller than the sum of its proper divisors (5747005181760).

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

2088418680000 is an equidigital number, since it uses as much as digits as its factorization.

2088418680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41231 (or 41200 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 2088418680000 in words is "two trillion, eighty-eight billion, four hundred eighteen million, six hundred eighty thousand".