257484242610 has 320 divisors, whose sum is σ = 852302905344. Its totient is φ = 54477878400.

The previous prime is 257484242593. The next prime is 257484242647. The reversal of 257484242610 is 16242484752.

257484242610 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 8 + 4 + 24 + 2 + 610 = 666.

It is a super-2 number, since 2×257484242610² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4010865 + ... + 4074555.

Almost surely, 2^257484242610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257484242610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426151452672).

257484242610 is an abundant number, since it is smaller than the sum of its proper divisors (594818662734).

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

257484242610 is a wasteful number, since it uses less digits than its factorization.

257484242610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63771 (or 63762 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 257484242610 in words is "two hundred fifty-seven billion, four hundred eighty-four million, two hundred forty-two thousand, six hundred ten".