2445923450880 has 2304 divisors, whose sum is σ = 11274246144000. Its totient is φ = 499415777280.

The previous prime is 2445923450827. The next prime is 2445923450891. The reversal of 2445923450880 is 880543295442.

2445923450880 is a `hidden beast` number, since 2 + 4 + 4 + 59 + 2 + 3 + 4 + 508 + 80 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78900756465 + ... + 78900756495.

It is an arithmetic number, because the mean of its divisors is an integer number (4893336000).

Almost surely, 2^{2445923450880} is an apocalyptic number.

2445923450880 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 2445923450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637123072000).

2445923450880 is an abundant number, since it is smaller than the sum of its proper divisors (8828322693120).

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

2445923450880 is an frugal number, since it uses more digits than its factorization.

2445923450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 2445923450880 in words is "two trillion, four hundred forty-five billion, nine hundred twenty-three million, four hundred fifty thousand, eight hundred eighty".