2484028166400 has 1215 divisors, whose sum is σ = 10146437606613. Its totient is φ = 599162572800.

The previous prime is 2484028166363. The next prime is 2484028166437. The reversal of 2484028166400 is 46618204842.

The square root of 2484028166400 is 1576080.

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

2484028166400 is a `hidden beast` number, since 2 + 4 + 84 + 0 + 2 + 8 + 166 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2484028166363) and next prime (2484028166437).

It can be written as a sum of positive squares in only one way, i.e., 894250139904 + 1589778026496 = 945648^2 + 1260864^2 .

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 (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12482553501 + ... + 12482553699.

Almost surely, 2^{2484028166400} is an apocalyptic number.

2484028166400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2484028166400 is the 1576080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2484028166400

2484028166400 is an abundant number, since it is smaller than the sum of its proper divisors (7662409440213).

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

2484028166400 is an equidigital number, since it uses as much as digits as its factorization.

2484028166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2484028166400 in words is "two trillion, four hundred eighty-four billion, twenty-eight million, one hundred sixty-six thousand, four hundred".