248034779520 has 1024 divisors, whose sum is σ = 950560358400. Its totient is φ = 54344908800.

The previous prime is 248034779423. The next prime is 248034779521. The reversal of 248034779520 is 25977430842.

It is a super-2 number, since 2×248034779520² (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248034779521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1579839282 + ... + 1579839438.

It is an arithmetic number, because the mean of its divisors is an integer number (928281600).

Almost surely, 2^248034779520 is an apocalyptic number.

248034779520 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 248034779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475280179200).

248034779520 is an abundant number, since it is smaller than the sum of its proper divisors (702525578880).

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

248034779520 is a wasteful number, since it uses less digits than its factorization.

248034779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 248034779520 in words is "two hundred forty-eight billion, thirty-four million, seven hundred seventy-nine thousand, five hundred twenty".