2400246720000 has 600 divisors, whose sum is σ = 8711131939224. Its totient is φ = 636014592000.

The previous prime is 2400246719999. The next prime is 2400246720013. The reversal of 2400246720000 is 276420042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×2400246720000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 469437444 + ... + 469442556.

Almost surely, 2^{2400246720000} is an apocalyptic number.

2400246720000 is a gapful number since it is divisible by the number (20) 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 2400246720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355565969612).

2400246720000 is an abundant number, since it is smaller than the sum of its proper divisors (6310885219224).

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

2400246720000 is an equidigital number, since it uses as much as digits as its factorization.

2400246720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 2400246720000 in words is "two trillion, four hundred billion, two hundred forty-six million, seven hundred twenty thousand".