268749450240 has 352 divisors, whose sum is σ = 883256984064. Its totient is φ = 69703434240.

The previous prime is 268749450197. The next prime is 268749450257. The reversal of 268749450240 is 42054947862.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 369668757 + ... + 369669483.

Almost surely, 2^268749450240 is an apocalyptic number.

268749450240 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 268749450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441628492032).

268749450240 is an abundant number, since it is smaller than the sum of its proper divisors (614507533824).

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

268749450240 is a wasteful number, since it uses less digits than its factorization.

268749450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 268749450240 in words is "two hundred sixty-eight billion, seven hundred forty-nine million, four hundred fifty thousand, two hundred forty".