242377581600 has 864 divisors, whose sum is σ = 1128305033856. Its totient is φ = 47399731200.

The previous prime is 242377581547. The next prime is 242377581631. The reversal of 242377581600 is 6185773242.

242377581600 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 7 + 7 + 581 + 60 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 9411942 + ... + 9437658.

It is an arithmetic number, because the mean of its divisors is an integer number (1305908604).

Almost surely, 2^242377581600 is an apocalyptic number.

242377581600 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 242377581600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564152516928).

242377581600 is an abundant number, since it is smaller than the sum of its proper divisors (885927452256).

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

242377581600 is a wasteful number, since it uses less digits than its factorization.

242377581600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25778 (or 25762 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 242377581600 in words is "two hundred forty-two billion, three hundred seventy-seven million, five hundred eighty-one thousand, six hundred".