249064002844020 has 576 divisors, whose sum is σ = 938528549038080. Its totient is φ = 52058839449600.

The previous prime is 249064002843973. The next prime is 249064002844199. The reversal of 249064002844020 is 20448200460942.

249064002844020 is a `hidden beast` number, since 2 + 490 + 6 + 40 + 0 + 2 + 84 + 40 + 2 + 0 = 666.

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, 20480546740 + ... + 20480558900.

It is an arithmetic number, because the mean of its divisors is an integer number (1629389842080).

Almost surely, 2^{249064002844020} is an apocalyptic number.

249064002844020 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 249064002844020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469264274519040).

249064002844020 is an abundant number, since it is smaller than the sum of its proper divisors (689464546194060).

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

249064002844020 is a wasteful number, since it uses less digits than its factorization.

249064002844020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23776 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 249064002844020 in words is "two hundred forty-nine trillion, sixty-four billion, two million, eight hundred forty-four thousand, twenty".