248217540 has 48 divisors (see below), whose sum is σ = 706413120. Its totient is φ = 65105280.

The previous prime is 248217533. The next prime is 248217547. The reversal of 248217540 is 45712842.

It is an interprime number because it is at equal distance from previous prime (248217533) and next prime (248217547).

It is a super-2 number, since 2×248217540² = 123223894327303200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248217547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30250 + ... + 37569.

It is an arithmetic number, because the mean of its divisors is an integer number (14716940).

Almost surely, 2^248217540 is an apocalyptic number.

248217540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248217540 is an abundant number, since it is smaller than the sum of its proper divisors (458195580).

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

248217540 is a wasteful number, since it uses less digits than its factorization.

248217540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67892 (or 67890 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 248217540 is about 15754.9211359499. The cubic root of 248217540 is about 628.4597800026.

The spelling of 248217540 in words is "two hundred forty-eight million, two hundred seventeen thousand, five hundred forty".