242460990501840 has 480 divisors, whose sum is σ = 897509488966272. Its totient is φ = 58171276800000.

The previous prime is 242460990501823. The next prime is 242460990501857. The reversal of 242460990501840 is 48105099064242.

242460990501840 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 6 + 0 + 9 + 90 + 501 + 8 + 40 = 666.

242460990501840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242460990501823) and next prime (242460990501857).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311715010 + ... + 312491870.

Almost surely, 2^{242460990501840} is an apocalyptic number.

242460990501840 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 242460990501840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448754744483136).

242460990501840 is an abundant number, since it is smaller than the sum of its proper divisors (655048498464432).

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

242460990501840 is a wasteful number, since it uses less digits than its factorization.

242460990501840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777299 (or 777290 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 242460990501840 in words is "two hundred forty-two trillion, four hundred sixty billion, nine hundred ninety million, five hundred one thousand, eight hundred forty".