2090583072 has 144 divisors (see below), whose sum is σ = 6347315520. Its totient is φ = 650764800.

The previous prime is 2090583031. The next prime is 2090583107. The reversal of 2090583072 is 2703850902.

It is a happy number.

2090583072 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 583 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385822 + ... + 391202.

It is an arithmetic number, because the mean of its divisors is an integer number (44078580).

Almost surely, 2^2090583072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090583072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173657760).

2090583072 is an abundant number, since it is smaller than the sum of its proper divisors (4256732448).

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

2090583072 is a wasteful number, since it uses less digits than its factorization.

2090583072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2090583072 is about 45722.8943965712. The cubic root of 2090583072 is about 1278.6621503504.

The spelling of 2090583072 in words is "two billion, ninety million, five hundred eighty-three thousand, seventy-two".