2484966856320 has 1536 divisors, whose sum is σ = 10393463808000. Its totient is φ = 540439216128.

The previous prime is 2484966856297. The next prime is 2484966856343. The reversal of 2484966856320 is 236586694842.

It is a happy number.

2484966856320 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 9 + 6 + 68 + 563 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2484966856297) and next prime (2484966856343).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3071652076 + ... + 3071652884.

It is an arithmetic number, because the mean of its divisors is an integer number (6766578000).

Almost surely, 2^{2484966856320} is an apocalyptic number.

2484966856320 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 2484966856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196731904000).

2484966856320 is an abundant number, since it is smaller than the sum of its proper divisors (7908496951680).

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

2484966856320 is a wasteful number, since it uses less digits than its factorization.

2484966856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 2484966856320 in words is "two trillion, four hundred eighty-four billion, nine hundred sixty-six million, eight hundred fifty-six thousand, three hundred twenty".