242293980240 has 640 divisors, whose sum is σ = 944939520000. Its totient is φ = 56617076736.

The previous prime is 242293980239. The next prime is 242293980251. The reversal of 242293980240 is 42089392242.

242293980240 is a `hidden beast` number, since 2 + 42 + 293 + 9 + 80 + 240 = 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 127 ways as a sum of consecutive naturals, for example, 89770411 + ... + 89773109.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468000).

Almost surely, 2^242293980240 is an apocalyptic number.

242293980240 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 242293980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760000).

242293980240 is an abundant number, since it is smaller than the sum of its proper divisors (702645539760).

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

242293980240 is a wasteful number, since it uses less digits than its factorization.

242293980240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 242293980240 in words is "two hundred forty-two billion, two hundred ninety-three million, nine hundred eighty thousand, two hundred forty".