251098080 has 96 divisors (see below), whose sum is σ = 799261344. Its totient is φ = 66256896.

The previous prime is 251098073. The next prime is 251098139. The reversal of 251098080 is 80890152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43864 + ... + 49256.

It is an arithmetic number, because the mean of its divisors is an integer number (8325639).

Almost surely, 2^251098080 is an apocalyptic number.

251098080 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 251098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399630672).

251098080 is an abundant number, since it is smaller than the sum of its proper divisors (548163264).

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

251098080 is a wasteful number, since it uses less digits than its factorization.

251098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 251098080 is about 15846.0745927816. The cubic root of 251098080 is about 630.8815072487.

The spelling of 251098080 in words is "two hundred fifty-one million, ninety-eight thousand, eighty".