2400786028800 has 648 divisors, whose sum is σ = 8959069036008. Its totient is φ = 612777984000.

The previous prime is 2400786028789. The next prime is 2400786028871. The reversal of 2400786028800 is 88206870042.

It is a happy number.

2400786028800 is a `hidden beast` number, since 240 + 0 + 78 + 60 + 288 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 688289255424 + 1712496773376 = 829632^2 + 1308624^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 125155210 + ... + 125174390.

It is an arithmetic number, because the mean of its divisors is an integer number (13825723821).

Almost surely, 2^{2400786028800} is an apocalyptic number.

2400786028800 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 2400786028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479534518004).

2400786028800 is an abundant number, since it is smaller than the sum of its proper divisors (6558283007208).

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

2400786028800 is a wasteful number, since it uses less digits than its factorization.

2400786028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19307 (or 19285 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2400786028800 in words is "two trillion, four hundred billion, seven hundred eighty-six million, twenty-eight thousand, eight hundred".