2090033280 has 384 divisors, whose sum is σ = 7618665600. Its totient is φ = 547430400.

The previous prime is 2090033279. The next prime is 2090033293. The reversal of 2090033280 is 823300902.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2090033280² = 8736478223015116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13841205 + ... + 13841355.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^2090033280 is an apocalyptic number.

2090033280 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 2090033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809332800).

2090033280 is an abundant number, since it is smaller than the sum of its proper divisors (5528632320).

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

2090033280 is an equidigital number, since it uses as much as digits as its factorization.

2090033280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2090033280 is about 45716.8817834288. The cubic root of 2090033280 is about 1278.5500508656.

The spelling of 2090033280 in words is "two billion, ninety million, thirty-three thousand, two hundred eighty".