2445406619904 has 216 divisors, whose sum is σ = 7404417471360. Its totient is φ = 804815751168.

The previous prime is 2445406619869. The next prime is 2445406619917. The reversal of 2445406619904 is 4099166045442.

2445406619904 is a `hidden beast` number, since 2 + 4 + 4 + 540 + 6 + 6 + 1 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4665634 + ... + 5163230.

Almost surely, 2^{2445406619904} is an apocalyptic number.

2445406619904 is a gapful number since it is divisible by the number (24) 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 2445406619904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702208735680).

2445406619904 is an abundant number, since it is smaller than the sum of its proper divisors (4959010851456).

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

2445406619904 is an frugal number, since it uses more digits than its factorization.

2445406619904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497707 (or 497681 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2445406619904 in words is "two trillion, four hundred forty-five billion, four hundred six million, six hundred nineteen thousand, nine hundred four".