2404148355840 has 2304 divisors, whose sum is σ = 10630003507200. Its totient is φ = 457219768320.

The previous prime is 2404148355821. The next prime is 2404148355911. The reversal of 2404148355840 is 485538414042.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2404148355840.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10590961807 + ... + 10590962033.

It is an arithmetic number, because the mean of its divisors is an integer number (4613716800).

Almost surely, 2^{2404148355840} is an apocalyptic number.

2404148355840 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 2404148355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315001753600).

2404148355840 is an abundant number, since it is smaller than the sum of its proper divisors (8225855151360).

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

2404148355840 is a wasteful number, since it uses less digits than its factorization.

2404148355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 2404148355840 in words is "two trillion, four hundred four billion, one hundred forty-eight million, three hundred fifty-five thousand, eight hundred forty".