2400485422500 has 675 divisors, whose sum is σ = 8646980699973. Its totient is φ = 580076640000.

The previous prime is 2400485422487. The next prime is 2400485422523. The reversal of 2400485422500 is 52245840042.

The square root of 2400485422500 is 1549350.

It is a perfect power (a square), and thus also a powerful number.

2400485422500 is a `hidden beast` number, since 2 + 40 + 0 + 48 + 54 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2302120391076 + 98365031424 = 1517274^2 + 313632^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-3 number, since 3×2400485422500³ (a number of 38 digits) contains 333 as substring.

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

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 224 ways as a sum of consecutive naturals, for example, 7669282344 + ... + 7669282656.

Almost surely, 2^{2400485422500} is an apocalyptic number.

2400485422500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2400485422500 is the 1549350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400485422500

2400485422500 is an abundant number, since it is smaller than the sum of its proper divisors (6246495277473).

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

2400485422500 is an equidigital number, since it uses as much as digits as its factorization.

2400485422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Multiplying 2400485422500 by its sum of digits (36), we get a square (86417475210000 = 9296100²).

2400485422500 divided by its sum of digits (36) gives a square (66680150625 = 258225²).

The spelling of 2400485422500 in words is "two trillion, four hundred billion, four hundred eighty-five million, four hundred twenty-two thousand, five hundred".