247981104 has 240 divisors, whose sum is σ = 835531840. Its totient is φ = 67184640.

The previous prime is 247981093. The next prime is 247981157. The reversal of 247981104 is 401189742.

247981104 is a `hidden beast` number, since 2 + 479 + 81 + 104 = 666.

247981104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247981104² = 122989255882117632, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2275002 + ... + 2275110.

Almost surely, 2^247981104 is an apocalyptic number.

247981104 is a gapful number since it is divisible by the number (24) 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 247981104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417765920).

247981104 is an abundant number, since it is smaller than the sum of its proper divisors (587550736).

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

247981104 is a wasteful number, since it uses less digits than its factorization.

247981104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 247981104 is about 15747.4157879952. The cubic root of 247981104 is about 628.2601732104.

The spelling of 247981104 in words is "two hundred forty-seven million, nine hundred eighty-one thousand, one hundred four".