268258642290 has 768 divisors, whose sum is σ = 851403571200. Its totient is φ = 60354201600.

The previous prime is 268258642277. The next prime is 268258642331. The reversal of 268258642290 is 92246852862.

It is a happy number.

268258642290 is a `hidden beast` number, since 2 + 6 + 82 + 58 + 6 + 422 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 954656950 + ... + 954657230.

It is an arithmetic number, because the mean of its divisors is an integer number (1108598400).

Almost surely, 2^268258642290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268258642290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425701785600).

268258642290 is an abundant number, since it is smaller than the sum of its proper divisors (583144928910).

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

268258642290 is a wasteful number, since it uses less digits than its factorization.

268258642290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 268258642290 in words is "two hundred sixty-eight billion, two hundred fifty-eight million, six hundred forty-two thousand, two hundred ninety".