251342232240 has 320 divisors, whose sum is σ = 864037269504. Its totient is φ = 59928960000.

The previous prime is 251342232173. The next prime is 251342232263. The reversal of 251342232240 is 42232243152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 251342232198 and 251342232207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92031675 + ... + 92034405.

Almost surely, 2^251342232240 is an apocalyptic number.

251342232240 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 251342232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432018634752).

251342232240 is an abundant number, since it is smaller than the sum of its proper divisors (612695037264).

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

251342232240 is a wasteful number, since it uses less digits than its factorization.

251342232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 251342232240 its reverse (42232243152), we get a palindrome (293574475392).

The spelling of 251342232240 in words is "two hundred fifty-one billion, three hundred forty-two million, two hundred thirty-two thousand, two hundred forty".