2400242646000 has 80 divisors (see below), whose sum is σ = 7738382310048. Its totient is φ = 640064704000.

The previous prime is 2400242645989. The next prime is 2400242646041. The reversal of 2400242646000 is 6462420042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2400242646000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200014221 + ... + 200026220.

Almost surely, 2^{2400242646000} is an apocalyptic number.

2400242646000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400242646000 is an abundant number, since it is smaller than the sum of its proper divisors (5338139664048).

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

2400242646000 is a wasteful number, since it uses less digits than its factorization.

2400242646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400040467 (or 400040451 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 2400242646000 in words is "two trillion, four hundred billion, two hundred forty-two million, six hundred forty-six thousand".