2684053670400 has 960 divisors, whose sum is σ = 10179517814400. Its totient is φ = 692270530560.

The previous prime is 2684053670393. The next prime is 2684053670449. The reversal of 2684053670400 is 40763504862.

2684053670400 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 0 + 536 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1619826372 + ... + 1619828028.

It is an arithmetic number, because the mean of its divisors is an integer number (10603664390).

Almost surely, 2^{2684053670400} is an apocalyptic number.

2684053670400 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 2684053670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089758907200).

2684053670400 is an abundant number, since it is smaller than the sum of its proper divisors (7495464144000).

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

2684053670400 is a wasteful number, since it uses less digits than its factorization.

2684053670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2684053670400 in words is "two trillion, six hundred eighty-four billion, fifty-three million, six hundred seventy thousand, four hundred".