249979031280 has 800 divisors, whose sum is σ = 1005316012800. Its totient is φ = 56932761600.

The previous prime is 249979031273. The next prime is 249979031293. The reversal of 249979031280 is 82130979942.

249979031280 is a `hidden beast` number, since 2 + 499 + 79 + 0 + 3 + 1 + 2 + 80 = 666.

249979031280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 177415216 + ... + 177416624.

It is an arithmetic number, because the mean of its divisors is an integer number (1256645016).

Almost surely, 2^249979031280 is an apocalyptic number.

249979031280 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 249979031280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502658006400).

249979031280 is an abundant number, since it is smaller than the sum of its proper divisors (755336981520).

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

249979031280 is a wasteful number, since it uses less digits than its factorization.

249979031280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 249979031280 in words is "two hundred forty-nine billion, nine hundred seventy-nine million, thirty-one thousand, two hundred eighty".