2408921109504 has 1320 divisors, whose sum is σ = 9107906734080. Its totient is φ = 628561575936.

The previous prime is 2408921109503. The next prime is 2408921109541. The reversal of 2408921109504 is 4059011298042.

It is a happy number.

2408921109504 is a `hidden beast` number, since 2 + 40 + 8 + 92 + 1 + 10 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2408921109504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2408921109503) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6710086477 + ... + 6710086835.

It is an arithmetic number, because the mean of its divisors is an integer number (6899929344).

Almost surely, 2^{2408921109504} is an apocalyptic number.

2408921109504 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 2408921109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553953367040).

2408921109504 is an abundant number, since it is smaller than the sum of its proper divisors (6698985624576).

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

2408921109504 is a wasteful number, since it uses less digits than its factorization.

2408921109504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2408921109504 in words is "two trillion, four hundred eight billion, nine hundred twenty-one million, one hundred nine thousand, five hundred four".