202530242249280 has 672 divisors, whose sum is σ = 778712865630336. Its totient is φ = 47886643200000.

The previous prime is 202530242249243. The next prime is 202530242249281. The reversal of 202530242249280 is 82942242035202.

202530242249280 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 302 + 4 + 22 + 49 + 280 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (202530242249281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4807133815 + ... + 4807175945.

It is an arithmetic number, because the mean of its divisors is an integer number (1158798907188).

Almost surely, 2^{202530242249280} is an apocalyptic number.

202530242249280 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 202530242249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389356432815168).

202530242249280 is an abundant number, since it is smaller than the sum of its proper divisors (576182623381056).

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

202530242249280 is a wasteful number, since it uses less digits than its factorization.

202530242249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45907 (or 45894 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 202530242249280 in words is "two hundred two trillion, five hundred thirty billion, two hundred forty-two million, two hundred forty-nine thousand, two hundred eighty".