242632511400 has 48 divisors (see below), whose sum is σ = 752160787200. Its totient is φ = 64702002880.

The previous prime is 242632511399. The next prime is 242632511419. The reversal of 242632511400 is 4115236242.

242632511400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242632511400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202193160 + ... + 202194359.

It is an arithmetic number, because the mean of its divisors is an integer number (15670016400).

Almost surely, 2^242632511400 is an apocalyptic number.

242632511400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242632511400 is an abundant number, since it is smaller than the sum of its proper divisors (509528275800).

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

242632511400 is a wasteful number, since it uses less digits than its factorization.

242632511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404387538 (or 404387529 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 242632511400 its reverse (4115236242), we get a palindrome (246747747642).

The spelling of 242632511400 in words is "two hundred forty-two billion, six hundred thirty-two million, five hundred eleven thousand, four hundred".