2484056332800 has 1440 divisors, whose sum is σ = 10835433987840. Its totient is φ = 555525734400.

The previous prime is 2484056332799. The next prime is 2484056332837. The reversal of 2484056332800 is 82336504842.

2484056332800 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 0 + 5 + 633 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 795915240 + ... + 795918360.

It is an arithmetic number, because the mean of its divisors is an integer number (7524606936).

Almost surely, 2^{2484056332800} is an apocalyptic number.

2484056332800 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 2484056332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417716993920).

2484056332800 is an abundant number, since it is smaller than the sum of its proper divisors (8351377655040).

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

2484056332800 is a wasteful number, since it uses less digits than its factorization.

2484056332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2484056332800 in words is "two trillion, four hundred eighty-four billion, fifty-six million, three hundred thirty-two thousand, eight hundred".