30226456260 has 768 divisors, whose sum is σ = 127346688000. Its totient is φ = 5748019200.

The previous prime is 30226456241. The next prime is 30226456279. The reversal of 30226456260 is 6265462203.

30226456260 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 645 + 6 + 2 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30226456241) and next prime (30226456279).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107567320 + ... + 107567600.

It is an arithmetic number, because the mean of its divisors is an integer number (165816000).

Almost surely, 2^30226456260 is an apocalyptic number.

30226456260 is a gapful number since it is divisible by the number (30) 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 30226456260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63673344000).

30226456260 is an abundant number, since it is smaller than the sum of its proper divisors (97120231740).

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

30226456260 is a wasteful number, since it uses less digits than its factorization.

30226456260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 30226456260 in words is "thirty billion, two hundred twenty-six million, four hundred fifty-six thousand, two hundred sixty".