2104475667840 has 1536 divisors, whose sum is σ = 9386196019200. Its totient is φ = 422295109632.

The previous prime is 2104475667839. The next prime is 2104475667859. The reversal of 2104475667840 is 487665744012.

2104475667840 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 4 + 7 + 566 + 78 + 4 + 0 = 666.

It is a super-2 number, since 2×2104475667840² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2736638976 + ... + 2736639744.

It is an arithmetic number, because the mean of its divisors is an integer number (6110804700).

Almost surely, 2^{2104475667840} is an apocalyptic number.

2104475667840 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 2104475667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693098009600).

2104475667840 is an abundant number, since it is smaller than the sum of its proper divisors (7281720351360).

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

2104475667840 is a wasteful number, since it uses less digits than its factorization.

2104475667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2104475667840 in words is "two trillion, one hundred four billion, four hundred seventy-five million, six hundred sixty-seven thousand, eight hundred forty".