247890240 has 224 divisors, whose sum is σ = 942197760. Its totient is φ = 60991488.

The previous prime is 247890233. The next prime is 247890241. The reversal of 247890240 is 42098742.

It is a super-2 number, since 2×247890240² = 122899142174515200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 247890195 and 247890204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247890241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111217 + ... + 113423.

It is an arithmetic number, because the mean of its divisors is an integer number (4206240).

Almost surely, 2^247890240 is an apocalyptic number.

247890240 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 247890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471098880).

247890240 is an abundant number, since it is smaller than the sum of its proper divisors (694307520).

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

247890240 is a wasteful number, since it uses less digits than its factorization.

247890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 247890240 is about 15744.5304788679. The cubic root of 247890240 is about 628.1834291826.

The spelling of 247890240 in words is "two hundred forty-seven million, eight hundred ninety thousand, two hundred forty".