2209429656 has 256 divisors, whose sum is σ = 7257600000. Its totient is φ = 609762816.

The previous prime is 2209429639. The next prime is 2209429669. The reversal of 2209429656 is 6569249022.

2209429656 is a `hidden beast` number, since 220 + 94 + 296 + 56 = 666.

It is a super-3 number, since 3×2209429656³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6330570 + ... + 6330918.

It is an arithmetic number, because the mean of its divisors is an integer number (28350000).

Almost surely, 2^2209429656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2209429656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800000).

2209429656 is an abundant number, since it is smaller than the sum of its proper divisors (5048170344).

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

2209429656 is a wasteful number, since it uses less digits than its factorization.

2209429656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2209429656 is about 47004.5705862738. The cubic root of 2209429656 is about 1302.4469997824.

The spelling of 2209429656 in words is "two billion, two hundred nine million, four hundred twenty-nine thousand, six hundred fifty-six".