248625930240 has 672 divisors, whose sum is σ = 924209591760. Its totient is φ = 61605937152.

The previous prime is 248625930227. The next prime is 248625930251. The reversal of 248625930240 is 42039526842.

248625930240 is a `hidden beast` number, since 248 + 62 + 5 + 9 + 302 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 193487376384 + 55138553856 = 439872^2 + 234816^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607887156 + ... + 607887564.

Almost surely, 2^248625930240 is an apocalyptic number.

248625930240 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 248625930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462104795880).

248625930240 is an abundant number, since it is smaller than the sum of its proper divisors (675583661520).

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

248625930240 is a wasteful number, since it uses less digits than its factorization.

248625930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 248625930240 in words is "two hundred forty-eight billion, six hundred twenty-five million, nine hundred thirty thousand, two hundred forty".