242640437760 has 480 divisors, whose sum is σ = 995967004032. Its totient is φ = 55459676160.

The previous prime is 242640437729. The next prime is 242640437771. The reversal of 242640437760 is 67734046242.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4326700 + ... + 4382420.

Almost surely, 2^242640437760 is an apocalyptic number.

242640437760 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 242640437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497983502016).

242640437760 is an abundant number, since it is smaller than the sum of its proper divisors (753326566272).

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

242640437760 is an frugal number, since it uses more digits than its factorization.

242640437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55766 (or 55738 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 242640437760 in words is "two hundred forty-two billion, six hundred forty million, four hundred thirty-seven thousand, seven hundred sixty".