242770275055000 has 1280 divisors, whose sum is σ = 778201395840000. Its totient is φ = 68635607040000.

The previous prime is 242770275054959. The next prime is 242770275055069. The reversal of 242770275055000 is 550572077242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 163042494256 + ... + 163042495744.

It is an arithmetic number, because the mean of its divisors is an integer number (607969840500).

Almost surely, 2^{242770275055000} is an apocalyptic number.

242770275055000 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 242770275055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389100697920000).

242770275055000 is an abundant number, since it is smaller than the sum of its proper divisors (535431120785000).

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

242770275055000 is a wasteful number, since it uses less digits than its factorization.

242770275055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 1372000, while the sum is 46.

The spelling of 242770275055000 in words is "two hundred forty-two trillion, seven hundred seventy billion, two hundred seventy-five million, fifty-five thousand".