2890506240 has 168 divisors, whose sum is σ = 10021087908. Its totient is φ = 770703360.

The previous prime is 2890506217. The next prime is 2890506323. The reversal of 2890506240 is 426050982.

It is a happy number.

2890506240 is a `hidden beast` number, since 28 + 9 + 0 + 5 + 0 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2828537856 + 61968384 = 53184^2 + 7872^2 .

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 = 2890506195 and 2890506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364720 + ... + 372560.

Almost surely, 2^2890506240 is an apocalyptic number.

2890506240 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 2890506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010543954).

2890506240 is an abundant number, since it is smaller than the sum of its proper divisors (7130581668).

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

2890506240 is an equidigital number, since it uses as much as digits as its factorization.

2890506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2890506240 is about 53763.4284621061. The cubic root of 2890506240 is about 1424.4852951840.

The spelling of 2890506240 in words is "two billion, eight hundred ninety million, five hundred six thousand, two hundred forty".