249828264000 has 1008 divisors, whose sum is σ = 1094592395520. Its totient is φ = 54083635200.

The previous prime is 249828263969. The next prime is 249828264011. The reversal of 249828264000 is 462828942.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×249828264000² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67030137 + ... + 67033863.

Almost surely, 2^249828264000 is an apocalyptic number.

249828264000 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 249828264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547296197760).

249828264000 is an abundant number, since it is smaller than the sum of its proper divisors (844764131520).

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

249828264000 is a wasteful number, since it uses less digits than its factorization.

249828264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 249828264000 in words is "two hundred forty-nine billion, eight hundred twenty-eight million, two hundred sixty-four thousand".