2090786628240 has 240 divisors, whose sum is σ = 7445602455408. Its totient is φ = 523969265664.

The previous prime is 2090786628221. The next prime is 2090786628263. The reversal of 2090786628240 is 428266870902.

2090786628240 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 7 + 8 + 6 + 628 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 83283033744 + 2007503594496 = 288588^2 + 1416864^2 .

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8160324 + ... + 8412636.

Almost surely, 2^{2090786628240} is an apocalyptic number.

2090786628240 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 2090786628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722801227704).

2090786628240 is an abundant number, since it is smaller than the sum of its proper divisors (5354815827168).

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

2090786628240 is a wasteful number, since it uses less digits than its factorization.

2090786628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253026 (or 253017 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2090786628240 in words is "two trillion, ninety billion, seven hundred eighty-six million, six hundred twenty-eight thousand, two hundred forty".