2484160052400 has 720 divisors, whose sum is σ = 9893822754816. Its totient is φ = 572442900480.

The previous prime is 2484160052393. The next prime is 2484160052489. The reversal of 2484160052400 is 42500614842.

2484160052400 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 1 + 600 + 5 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 50566249 + ... + 50615351.

Almost surely, 2^{2484160052400} is an apocalyptic number.

2484160052400 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 2484160052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946911377408).

2484160052400 is an abundant number, since it is smaller than the sum of its proper divisors (7409662702416).

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

2484160052400 is a wasteful number, since it uses less digits than its factorization.

2484160052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49210 (or 49196 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

It can be divided in two parts, 24841 and 60052400, that added together give a triangular number (60077241 = T₁₀₉₆₁).

The spelling of 2484160052400 in words is "two trillion, four hundred eighty-four billion, one hundred sixty million, fifty-two thousand, four hundred".