2485079654400 has 1440 divisors, whose sum is σ = 10671996948480. Its totient is φ = 555118755840.

The previous prime is 2485079654377. The next prime is 2485079654401. The reversal of 2485079654400 is 44569705842.

2485079654400 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 0 + 7 + 96 + 544 + 0 + 0 = 666.

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

It is a super-4 number, since 4×2485079654400⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2485079654401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3638476459 + ... + 3638477141.

It is an arithmetic number, because the mean of its divisors is an integer number (7411108992).

Almost surely, 2^{2485079654400} is an apocalyptic number.

2485079654400 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 2485079654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335998474240).

2485079654400 is an abundant number, since it is smaller than the sum of its proper divisors (8186917294080).

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

2485079654400 is an equidigital number, since it uses as much as digits as its factorization.

2485079654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2485079654400 in words is "two trillion, four hundred eighty-five billion, seventy-nine million, six hundred fifty-four thousand, four hundred".