251376730242 has 256 divisors, whose sum is σ = 611059728384. Its totient is φ = 68124672000.

The previous prime is 251376730229. The next prime is 251376730259. The reversal of 251376730242 is 242037673152.

It is a junction number, because it is equal to n+sod(n) for n = 251376730194 and 251376730203.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218019138 + ... + 218020290.

It is an arithmetic number, because the mean of its divisors is an integer number (2386952064).

Almost surely, 2^251376730242 is an apocalyptic number.

251376730242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 251376730242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305529864192).

251376730242 is an abundant number, since it is smaller than the sum of its proper divisors (359682998142).

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

251376730242 is a wasteful number, since it uses less digits than its factorization.

251376730242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377.

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 251376730242 in words is "two hundred fifty-one billion, three hundred seventy-six million, seven hundred thirty thousand, two hundred forty-two".