242400002640 has 40 divisors (see below), whose sum is σ = 751440008928. Its totient is φ = 64640000640.

The previous prime is 242400002633. The next prime is 242400002683. The reversal of 242400002640 is 46200004242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×242400002640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242400002640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504999766 + ... + 505000245.

Almost surely, 2^242400002640 is an apocalyptic number.

242400002640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242400002640 is an abundant number, since it is smaller than the sum of its proper divisors (509040006288).

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

242400002640 is a wasteful number, since it uses less digits than its factorization.

242400002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010000027 (or 1010000021 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242400002640 its reverse (46200004242), we get a palindrome (288600006882).

The spelling of 242400002640 in words is "two hundred forty-two billion, four hundred million, two thousand, six hundred forty".