249420600000 has 2688 divisors, whose sum is σ = 1200073190400. Its totient is φ = 49766400000.

The previous prime is 249420599993. The next prime is 249420600007. The reversal of 249420600000 is 6024942.

It is an interprime number because it is at equal distance from previous prime (249420599993) and next prime (249420600007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249420600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13127399991 + ... + 13127400009.

It is an arithmetic number, because the mean of its divisors is an integer number (446455800).

Almost surely, 2^249420600000 is an apocalyptic number.

249420600000 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 249420600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600036595200).

249420600000 is an abundant number, since it is smaller than the sum of its proper divisors (950652590400).

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

249420600000 is a wasteful number, since it uses less digits than its factorization.

249420600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 249420600000 its reverse (6024942), we get a palindrome (249426624942).

The spelling of 249420600000 in words is "two hundred forty-nine billion, four hundred twenty million, six hundred thousand".