2445520896000 has 2304 divisors, whose sum is σ = 11268215824320. Its totient is φ = 515978035200.

The previous prime is 2445520895989. The next prime is 2445520896059. The reversal of 2445520896000 is 6980255442.

2445520896000 is a `hidden beast` number, since 2 + 4 + 4 + 552 + 0 + 8 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

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, 188116991994 + ... + 188116992006.

Almost surely, 2^{2445520896000} is an apocalyptic number.

2445520896000 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 2445520896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634107912160).

2445520896000 is an abundant number, since it is smaller than the sum of its proper divisors (8822694928320).

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

2445520896000 is an frugal number, since it uses more digits than its factorization.

2445520896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2445520896000 in words is "two trillion, four hundred forty-five billion, five hundred twenty million, eight hundred ninety-six thousand".