248002257440 has 144 divisors (see below), whose sum is σ = 681937363800. Its totient is φ = 84982689792.

The previous prime is 248002257431. The next prime is 248002257473. The reversal of 248002257440 is 44752200842.

It can be written as a sum of positive squares in 4 ways, for example, as 171333077776 + 76669179664 = 413924^2 + 276892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 248002257394 and 248002257403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16213316 + ... + 16228604.

Almost surely, 2^248002257440 is an apocalyptic number.

248002257440 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 248002257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340968681900).

248002257440 is an abundant number, since it is smaller than the sum of its proper divisors (433935106360).

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

248002257440 is a wasteful number, since it uses less digits than its factorization.

248002257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17387 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 38.

The spelling of 248002257440 in words is "two hundred forty-eight billion, two million, two hundred fifty-seven thousand, four hundred forty".