249980137360 has 40 divisors (see below), whose sum is σ = 581226638400. Its totient is φ = 99988129152.

The previous prime is 249980137333. The next prime is 249980137387. The reversal of 249980137360 is 63731089942.

It is an interprime number because it is at equal distance from previous prime (249980137333) and next prime (249980137387).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 249980137298 and 249980137307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2843341 + ... + 2929939.

It is an arithmetic number, because the mean of its divisors is an integer number (14530665960).

Almost surely, 2^249980137360 is an apocalyptic number.

249980137360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249980137360 is the 288664-th octagonal number.

It is an amenable number.

249980137360 is an abundant number, since it is smaller than the sum of its proper divisors (331246501040).

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

249980137360 is a wasteful number, since it uses less digits than its factorization.

249980137360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122695 (or 122689 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 249980137360 in words is "two hundred forty-nine billion, nine hundred eighty million, one hundred thirty-seven thousand, three hundred sixty".