251066240 has 128 divisors (see below), whose sum is σ = 626076000. Its totient is φ = 96215040.

The previous prime is 251066227. The next prime is 251066261. The reversal of 251066240 is 42660152.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2303306 + ... + 2303414.

Almost surely, 2^251066240 is an apocalyptic number.

251066240 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 251066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313038000).

251066240 is an abundant number, since it is smaller than the sum of its proper divisors (375009760).

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

251066240 is a wasteful number, since it uses less digits than its factorization.

251066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 251066240 is about 15845.0698957120. The cubic root of 251066240 is about 630.8548402237.

The spelling of 251066240 in words is "two hundred fifty-one million, sixty-six thousand, two hundred forty".