2090267088 has 240 divisors, whose sum is σ = 6827688000. Its totient is φ = 546158592.

The previous prime is 2090267077. The next prime is 2090267111. The reversal of 2090267088 is 8807620902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 4188663 + ... + 4189161.

It is an arithmetic number, because the mean of its divisors is an integer number (28448700).

Almost surely, 2^2090267088 is an apocalyptic number.

2090267088 is a gapful number since it is divisible by the number (28) 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 2090267088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413844000).

2090267088 is an abundant number, since it is smaller than the sum of its proper divisors (4737420912).

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

2090267088 is a wasteful number, since it uses less digits than its factorization.

2090267088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2090267088 is about 45719.4388417006. The cubic root of 2090267088 is about 1278.5977253990.

It can be divided in two parts, 20902 and 67088, that added together give a triangular number (87990 = T₄₁₉).

The spelling of 2090267088 in words is "two billion, ninety million, two hundred sixty-seven thousand, eighty-eight".