242508000 has 192 divisors, whose sum is σ = 908264448. Its totient is φ = 55411200.

The previous prime is 242507999. The next prime is 242508011. The reversal of 242508000 is 805242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82557 + ... + 85443.

It is an arithmetic number, because the mean of its divisors is an integer number (4730544).

Almost surely, 2^242508000 is an apocalyptic number.

242508000 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 242508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454132224).

242508000 is an abundant number, since it is smaller than the sum of its proper divisors (665756448).

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

242508000 is a wasteful number, since it uses less digits than its factorization.

242508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 242508000 is about 15572.6683647986. The cubic root of 242508000 is about 623.6037095866.

The spelling of 242508000 in words is "two hundred forty-two million, five hundred eight thousand".