2400661800000 has 1680 divisors, whose sum is σ = 9853458088320. Its totient is φ = 574801920000.

The previous prime is 2400661799999. The next prime is 2400661800101. The reversal of 2400661800000 is 81660042.

2400661800000 is a `hidden beast` number, since 2 + 40 + 0 + 6 + 618 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6334199811 + ... + 6334200189.

It is an arithmetic number, because the mean of its divisors is an integer number (5865153624).

Almost surely, 2^{2400661800000} is an apocalyptic number.

2400661800000 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 2400661800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926729044160).

2400661800000 is an abundant number, since it is smaller than the sum of its proper divisors (7452796288320).

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

2400661800000 is an equidigital number, since it uses as much as digits as its factorization.

2400661800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 2400661800000 in words is "two trillion, four hundred billion, six hundred sixty-one million, eight hundred thousand".