290224253142 has 96 divisors (see below), whose sum is σ = 661857730560. Its totient is φ = 91789649280.

The previous prime is 290224253131. The next prime is 290224253171. The reversal of 290224253142 is 241352422092.

290224253142 is a `hidden beast` number, since 2 + 90 + 2 + 2 + 425 + 3 + 142 = 666.

It is a super-3 number, since 3×290224253142³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 290224253097 and 290224253106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12597618 + ... + 12620634.

It is an arithmetic number, because the mean of its divisors is an integer number (6894351360).

Almost surely, 2^290224253142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290224253142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330928865280).

290224253142 is an abundant number, since it is smaller than the sum of its proper divisors (371633477418).

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

290224253142 is a wasteful number, since it uses less digits than its factorization.

290224253142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23498 (or 23495 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 290224253142 in words is "two hundred ninety billion, two hundred twenty-four million, two hundred fifty-three thousand, one hundred forty-two".