2657229214230 has 384 divisors, whose sum is σ = 7631213990400. Its totient is φ = 639121508352.

The previous prime is 2657229214223. The next prime is 2657229214261. The reversal of 2657229214230 is 324129227562.

2657229214230 is a `hidden beast` number, since 2 + 6 + 572 + 2 + 9 + 2 + 1 + 42 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 561898506 + ... + 561903234.

It is an arithmetic number, because the mean of its divisors is an integer number (19872953100).

Almost surely, 2^{2657229214230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657229214230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815606995200).

2657229214230 is an abundant number, since it is smaller than the sum of its proper divisors (4973984776170).

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

2657229214230 is a wasteful number, since it uses less digits than its factorization.

2657229214230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2657229214230 in words is "two trillion, six hundred fifty-seven billion, two hundred twenty-nine million, two hundred fourteen thousand, two hundred thirty".