247941120 has 192 divisors, whose sum is σ = 907320960. Its totient is φ = 56623104.

The previous prime is 247941119. The next prime is 247941137. The reversal of 247941120 is 21149742.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×247941120² = 122949597973708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214464 + ... + 215616.

It is an arithmetic number, because the mean of its divisors is an integer number (4725630).

Almost surely, 2^247941120 is an apocalyptic number.

247941120 is a gapful number since it is divisible by the number (20) 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 247941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453660480).

247941120 is an abundant number, since it is smaller than the sum of its proper divisors (659379840).

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

247941120 is a wasteful number, since it uses less digits than its factorization.

247941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 247941120 is about 15746.1461951806. The cubic root of 247941120 is about 628.2264049049.

The spelling of 247941120 in words is "two hundred forty-seven million, nine hundred forty-one thousand, one hundred twenty".