2400469310304 has 864 divisors, whose sum is σ = 8143332986880. Its totient is φ = 693305174016.

The previous prime is 2400469310279. The next prime is 2400469310339. The reversal of 2400469310304 is 4030139640042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×2400469310304³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 3171029094 + ... + 3171029850.

It is an arithmetic number, because the mean of its divisors is an integer number (9425153920).

Almost surely, 2^{2400469310304} is an apocalyptic number.

2400469310304 is a gapful number since it is divisible by the number (24) 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 2400469310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071666493440).

2400469310304 is an abundant number, since it is smaller than the sum of its proper divisors (5742863676576).

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

2400469310304 is a wasteful number, since it uses less digits than its factorization.

2400469310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2400469310304 in words is "two trillion, four hundred billion, four hundred sixty-nine million, three hundred ten thousand, three hundred four".