257101240 has 64 divisors (see below), whose sum is σ = 652860000. Its totient is φ = 90263040.

The previous prime is 257101237. The next prime is 257101253. The reversal of 257101240 is 42101752.

It is a happy number.

It is a super-2 number, since 2×257101240² = 132202095219075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2686 + ... + 22834.

Almost surely, 2^257101240 is an apocalyptic number.

257101240 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 257101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326430000).

257101240 is an abundant number, since it is smaller than the sum of its proper divisors (395758760).

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

257101240 is a wasteful number, since it uses less digits than its factorization.

257101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 257101240 is about 16034.3768198206. The cubic root of 257101240 is about 635.8695920803.

Adding to 257101240 its reverse (42101752), we get a palindrome (299202992).

The spelling of 257101240 in words is "two hundred fifty-seven million, one hundred one thousand, two hundred forty".