2681416585200 has 480 divisors, whose sum is σ = 8955326822400. Its totient is φ = 685080576000.

The previous prime is 2681416585187. The next prime is 2681416585207. The reversal of 2681416585200 is 25856141862.

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 2681416585200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681416585207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3314482396 + ... + 3314483204.

It is an arithmetic number, because the mean of its divisors is an integer number (18656930880).

Almost surely, 2^{2681416585200} is an apocalyptic number.

2681416585200 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 2681416585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477663411200).

2681416585200 is an abundant number, since it is smaller than the sum of its proper divisors (6273910237200).

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

2681416585200 is a wasteful number, since it uses less digits than its factorization.

2681416585200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 2681416585200 in words is "two trillion, six hundred eighty-one billion, four hundred sixteen million, five hundred eighty-five thousand, two hundred".