249533706240 has 2496 divisors, whose sum is σ = 1202150476800. Its totient is φ = 48157949952.

The previous prime is 249533706239. The next prime is 249533706281. The reversal of 249533706240 is 42607335942.

249533706240 is a `hidden beast` number, since 2 + 4 + 9 + 533 + 70 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×249533706240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8604610546 + ... + 8604610574.

It is an arithmetic number, because the mean of its divisors is an integer number (481630800).

Almost surely, 2^249533706240 is an apocalyptic number.

249533706240 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 249533706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601075238400).

249533706240 is an abundant number, since it is smaller than the sum of its proper divisors (952616770560).

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

249533706240 is a wasteful number, since it uses less digits than its factorization.

249533706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 249533706240 in words is "two hundred forty-nine billion, five hundred thirty-three million, seven hundred six thousand, two hundred forty".