249864286602240 has 880 divisors, whose sum is σ = 935713866688128. Its totient is φ = 63637163606016.

The previous prime is 249864286602239. The next prime is 249864286602241. The reversal of 249864286602240 is 42206682468942.

249864286602240 is a `hidden beast` number, since 2 + 4 + 98 + 6 + 428 + 6 + 60 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (249864286602239) and next prime (249864286602241).

It is not an unprimeable number, because it can be changed into a prime (249864286602241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6419431419 + ... + 6419470341.

Almost surely, 2^{249864286602240} is an apocalyptic number.

249864286602240 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 249864286602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467856933344064).

249864286602240 is an abundant number, since it is smaller than the sum of its proper divisors (685849580085888).

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

249864286602240 is a wasteful number, since it uses less digits than its factorization.

249864286602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39656 (or 39629 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 249864286602240 in words is "two hundred forty-nine trillion, eight hundred sixty-four billion, two hundred eighty-six million, six hundred two thousand, two hundred forty".