2090016000 has 576 divisors, whose sum is σ = 8035372800. Its totient is φ = 534528000.

The previous prime is 2090015999. The next prime is 2090016037. The reversal of 2090016000 is 6100902.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35423971 + ... + 35424029.

It is an arithmetic number, because the mean of its divisors is an integer number (13950300).

Almost surely, 2^2090016000 is an apocalyptic number.

2090016000 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 2090016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017686400).

2090016000 is an abundant number, since it is smaller than the sum of its proper divisors (5945356800).

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

2090016000 is an equidigital number, since it uses as much as digits as its factorization.

2090016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2090016000 is about 45716.6927937706. The cubic root of 2090016000 is about 1278.5465272526.

Adding to 2090016000 its reverse (6100902), we get a palindrome (2096116902).

The spelling of 2090016000 in words is "two billion, ninety million, sixteen thousand".