251130880 has 352 divisors, whose sum is σ = 825350400. Its totient is φ = 72253440.

The previous prime is 251130871. The next prime is 251130881. The reversal of 251130880 is 88031152.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251130881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19317754 + ... + 19317766.

Almost surely, 2^251130880 is an apocalyptic number.

251130880 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 251130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412675200).

251130880 is an abundant number, since it is smaller than the sum of its proper divisors (574219520).

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

251130880 is a wasteful number, since it uses less digits than its factorization.

251130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 251130880 is about 15847.1095156183. The cubic root of 251130880 is about 630.9089759474.

It can be divided in two parts, 251 and 130880, that added together give a palindrome (131131).

The spelling of 251130880 in words is "two hundred fifty-one million, one hundred thirty thousand, eight hundred eighty".