249406935580 has 96 divisors (see below), whose sum is σ = 607062677760. Its totient is φ = 85116948480.

The previous prime is 249406935559. The next prime is 249406935601. The reversal of 249406935580 is 85539604942.

249406935580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249406935559) and next prime (249406935601).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168444 + ... + 726076.

It is an arithmetic number, because the mean of its divisors is an integer number (6323569560).

Almost surely, 2^249406935580 is an apocalyptic number.

249406935580 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 249406935580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303531338880).

249406935580 is an abundant number, since it is smaller than the sum of its proper divisors (357655742180).

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

249406935580 is a wasteful number, since it uses less digits than its factorization.

249406935580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557779 (or 557777 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 249406935580 in words is "two hundred forty-nine billion, four hundred six million, nine hundred thirty-five thousand, five hundred eighty".