249109680960 has 2352 divisors, whose sum is σ = 1154552163840. Its totient is φ = 50791587840.

The previous prime is 249109680949. The next prime is 249109680961. The reversal of 249109680960 is 69086901942.

249109680960 is a `hidden beast` number, since 2 + 491 + 0 + 9 + 68 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is a junction number, because it is equal to n+sod(n) for n = 249109680897 and 249109680906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249109680961) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6732694062 + ... + 6732694098.

Almost surely, 2^249109680960 is an apocalyptic number.

249109680960 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 249109680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577276081920).

249109680960 is an abundant number, since it is smaller than the sum of its proper divisors (905442482880).

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

249109680960 is a wasteful number, since it uses less digits than its factorization.

249109680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 249109680960 in words is "two hundred forty-nine billion, one hundred nine million, six hundred eighty thousand, nine hundred sixty".