2090488320 has 240 divisors, whose sum is σ = 7419884472. Its totient is φ = 543621120.

The previous prime is 2090488313. The next prime is 2090488321. The reversal of 2090488320 is 238840902.

It can be written as a sum of positive squares in 4 ways, for example, as 1780164864 + 310323456 = 42192^2 + 17616^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2090488321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943534 + ... + 945746.

Almost surely, 2^2090488320 is an apocalyptic number.

2090488320 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 2090488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709942236).

2090488320 is an abundant number, since it is smaller than the sum of its proper divisors (5329396152).

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

2090488320 is a wasteful number, since it uses less digits than its factorization.

2090488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2090488320 is about 45721.8582299539. The cubic root of 2090488320 is about 1278.6428323544.

The spelling of 2090488320 in words is "two billion, ninety million, four hundred eighty-eight thousand, three hundred twenty".