290425242240 has 288 divisors, whose sum is σ = 1166610437460. Its totient is φ = 66382848000.

The previous prime is 290425242221. The next prime is 290425242299. The reversal of 290425242240 is 42242524092.

290425242240 is a `hidden beast` number, since 2 + 9 + 0 + 425 + 2 + 4 + 224 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 267918041664 + 22507200576 = 517608^2 + 150024^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 290425242195 and 290425242204.

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, 232261 + ... + 796740.

Almost surely, 2^290425242240 is an apocalyptic number.

290425242240 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 290425242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583305218730).

290425242240 is an abundant number, since it is smaller than the sum of its proper divisors (876185195220).

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

290425242240 is a wasteful number, since it uses less digits than its factorization.

290425242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029040 (or 1029018 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 2904252 and 42240, that added together give a palindrome (2946492).

The spelling of 290425242240 in words is "two hundred ninety billion, four hundred twenty-five million, two hundred forty-two thousand, two hundred forty".