249199299840 has 144 divisors (see below), whose sum is σ = 796360779648. Its totient is φ = 66413027328.

The previous prime is 249199299829. The next prime is 249199299857. The reversal of 249199299840 is 48992991942.

249199299840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6635997 + ... + 6673443.

It is an arithmetic number, because the mean of its divisors is an integer number (5530283192).

Almost surely, 2^249199299840 is an apocalyptic number.

249199299840 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 249199299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398180389824).

249199299840 is an abundant number, since it is smaller than the sum of its proper divisors (547161479808).

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

249199299840 is a wasteful number, since it uses less digits than its factorization.

249199299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39204 (or 39190 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 66.

The spelling of 249199299840 in words is "two hundred forty-nine billion, one hundred ninety-nine million, two hundred ninety-nine thousand, eight hundred forty".