248407220880 has 480 divisors, whose sum is σ = 1071887644800. Its totient is φ = 52410903552.

The previous prime is 248407220869. The next prime is 248407220881. The reversal of 248407220880 is 88022704842.

248407220880 is a `hidden beast` number, since 2 + 484 + 0 + 72 + 20 + 8 + 80 = 666.

It is a super-2 number, since 2×248407220880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (248407220881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285651 + ... + 1466189.

It is an arithmetic number, because the mean of its divisors is an integer number (2233099260).

Almost surely, 2^248407220880 is an apocalyptic number.

248407220880 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 248407220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535943822400).

248407220880 is an abundant number, since it is smaller than the sum of its proper divisors (823480423920).

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

248407220880 is a wasteful number, since it uses less digits than its factorization.

248407220880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180588 (or 180569 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 248407220880 in words is "two hundred forty-eight billion, four hundred seven million, two hundred twenty thousand, eight hundred eighty".