249240266352 has 1440 divisors, whose sum is σ = 979450644480. Its totient is φ = 60354201600.

The previous prime is 249240266339. The next prime is 249240266369. The reversal of 249240266352 is 253662042942.

249240266352 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 4 + 0 + 2 + 6 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 249240266298 and 249240266307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3414250188 + ... + 3414250260.

Almost surely, 2^249240266352 is an apocalyptic number.

249240266352 is a gapful number since it is divisible by the number (22) 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 249240266352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489725322240).

249240266352 is an abundant number, since it is smaller than the sum of its proper divisors (730210378128).

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

249240266352 is a wasteful number, since it uses less digits than its factorization.

249240266352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 249240266352 in words is "two hundred forty-nine billion, two hundred forty million, two hundred sixty-six thousand, three hundred fifty-two".