2104378657920 has 1536 divisors, whose sum is σ = 9296375961600. Its totient is φ = 425997434880.

The previous prime is 2104378657907. The next prime is 2104378657921. The reversal of 2104378657920 is 297568734012.

It is a happy number.

2104378657920 is a `hidden beast` number, since 2 + 1 + 0 + 43 + 7 + 8 + 6 + 579 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (2104378657921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3584971867 + ... + 3584972453.

It is an arithmetic number, because the mean of its divisors is an integer number (6052328100).

It is a 1-persistent number, because it is pandigital, but 2⋅2104378657920 = 4208757315840 is not.

Almost surely, 2^{2104378657920} is an apocalyptic number.

2104378657920 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 2104378657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648187980800).

2104378657920 is an abundant number, since it is smaller than the sum of its proper divisors (7191997303680).

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

2104378657920 is a wasteful number, since it uses less digits than its factorization.

2104378657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2104378657920 in words is "two trillion, one hundred four billion, three hundred seventy-eight million, six hundred fifty-seven thousand, nine hundred twenty".