249640634880 has 1920 divisors, whose sum is σ = 1138709975040. Its totient is φ = 50721914880.

The previous prime is 249640634869. The next prime is 249640634941. The reversal of 249640634880 is 88436046942.

249640634880 is a `hidden beast` number, since 2 + 49 + 64 + 0 + 63 + 488 + 0 = 666.

249640634880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×249640634880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3516065245 + ... + 3516065315.

It is an arithmetic number, because the mean of its divisors is an integer number (593078112).

Almost surely, 2^249640634880 is an apocalyptic number.

249640634880 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 249640634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569354987520).

249640634880 is an abundant number, since it is smaller than the sum of its proper divisors (889069340160).

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

249640634880 is a wasteful number, since it uses less digits than its factorization.

249640634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 249640634880 in words is "two hundred forty-nine billion, six hundred forty million, six hundred thirty-four thousand, eight hundred eighty".