242512302400 has 84 divisors (see below), whose sum is σ = 596871735388. Its totient is φ = 96982179840.

The previous prime is 242512302349. The next prime is 242512302433. The reversal of 242512302400 is 4203215242.

It can be written as a sum of positive squares in 6 ways, for example, as 156950784 + 242355351616 = 12528^2 + 492296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7915912 + ... + 7946488.

Almost surely, 2^242512302400 is an apocalyptic number.

242512302400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242512302400 is an abundant number, since it is smaller than the sum of its proper divisors (354359432988).

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

242512302400 is a wasteful number, since it uses less digits than its factorization.

242512302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35556 (or 35541 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 242512302400 its reverse (4203215242), we get a palindrome (246715517642).

The spelling of 242512302400 in words is "two hundred forty-two billion, five hundred twelve million, three hundred two thousand, four hundred".