2485653350400 has 2160 divisors, whose sum is σ = 10600849939680. Its totient is φ = 570787430400.

The previous prime is 2485653350273. The next prime is 2485653350429. The reversal of 2485653350400 is 40533565842.

2485653350400 is a `hidden beast` number, since 2 + 4 + 8 + 565 + 33 + 50 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 179 ways as a sum of consecutive naturals, for example, 24132556749 + ... + 24132556851.

It is an arithmetic number, because the mean of its divisors is an integer number (4907800898).

Almost surely, 2^{2485653350400} is an apocalyptic number.

2485653350400 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 2485653350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300424969840).

2485653350400 is an abundant number, since it is smaller than the sum of its proper divisors (8115196589280).

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

2485653350400 is a wasteful number, since it uses less digits than its factorization.

2485653350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2485653350400 in words is "two trillion, four hundred eighty-five billion, six hundred fifty-three million, three hundred fifty thousand, four hundred".