2088266752000 has 672 divisors, whose sum is σ = 6162440023584. Its totient is φ = 700317696000.

The previous prime is 2088266751979. The next prime is 2088266752001. The reversal of 2088266752000 is 2576628802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088266752001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1903615452 + ... + 1903616548.

Almost surely, 2^{2088266752000} is an apocalyptic number.

2088266752000 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 2088266752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081220011792).

2088266752000 is an abundant number, since it is smaller than the sum of its proper divisors (4074173271584).

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

2088266752000 is a wasteful number, since it uses less digits than its factorization.

2088266752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 2088266752000 in words is "two trillion, eighty-eight billion, two hundred sixty-six million, seven hundred fifty-two thousand".