2290559040 has 672 divisors, whose sum is σ = 10183246080. Its totient is φ = 474439680.

The previous prime is 2290559023. The next prime is 2290559071. The reversal of 2290559040 is 409550922.

It is a happy number.

2290559040 is a `hidden beast` number, since 2 + 29 + 0 + 5 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 2290558986 and 2290559004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7317924 + ... + 7318236.

It is an arithmetic number, because the mean of its divisors is an integer number (15153640).

Almost surely, 2^2290559040 is an apocalyptic number.

2290559040 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 2290559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091623040).

2290559040 is an abundant number, since it is smaller than the sum of its proper divisors (7892687040).

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

2290559040 is a wasteful number, since it uses less digits than its factorization.

2290559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2290559040 is about 47859.7852063713. The cubic root of 2290559040 is about 1318.1975398608.

The spelling of 2290559040 in words is "two billion, two hundred ninety million, five hundred fifty-nine thousand, forty".