249030916992 has 768 divisors, whose sum is σ = 916193376000. Its totient is φ = 65965363200.

The previous prime is 249030916969. The next prime is 249030916993. The reversal of 249030916992 is 299619030942.

249030916992 is a `hidden beast` number, since 2 + 4 + 90 + 309 + 169 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249030916993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103288267 + ... + 103290677.

It is an arithmetic number, because the mean of its divisors is an integer number (1192960125).

Almost surely, 2^249030916992 is an apocalyptic number.

249030916992 is a gapful number since it is divisible by the number (22) 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 249030916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458096688000).

249030916992 is an abundant number, since it is smaller than the sum of its proper divisors (667162459008).

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

249030916992 is a wasteful number, since it uses less digits than its factorization.

249030916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 249030916992 in words is "two hundred forty-nine billion, thirty million, nine hundred sixteen thousand, nine hundred ninety-two".