2090435328 has 324 divisors, whose sum is σ = 6846807240. Its totient is φ = 609583104.

The previous prime is 2090435297. The next prime is 2090435357. The reversal of 2090435328 is 8235340902.

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

It is a junction number, because it is equal to n+sod(n) for n = 2090435292 and 2090435301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39442150 + ... + 39442202.

Almost surely, 2^2090435328 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 2090435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423403620).

2090435328 is an abundant number, since it is smaller than the sum of its proper divisors (4756371912).

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

2090435328 is a wasteful number, since it uses less digits than its factorization.

2090435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2090435328 is about 45721.2787222755. The cubic root of 2090435328 is about 1278.6320281143.

The spelling of 2090435328 in words is "two billion, ninety million, four hundred thirty-five thousand, three hundred twenty-eight".