2681124245280 has 2304 divisors, whose sum is σ = 11203202949120. Its totient is φ = 578086502400.

The previous prime is 2681124245273. The next prime is 2681124245287. The reversal of 2681124245280 is 825424211862.

It is a happy number.

2681124245280 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 124 + 245 + 280 = 666.

2681124245280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2681124245273) and next prime (2681124245287).

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

It is not an unprimeable number, because it can be changed into a prime (2681124245287) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30124991476 + ... + 30124991564.

It is an arithmetic number, because the mean of its divisors is an integer number (4862501280).

Almost surely, 2^{2681124245280} is an apocalyptic number.

2681124245280 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 2681124245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601601474560).

2681124245280 is an abundant number, since it is smaller than the sum of its proper divisors (8522078703840).

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

2681124245280 is a wasteful number, since it uses less digits than its factorization.

2681124245280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 2681124245280 in words is "two trillion, six hundred eighty-one billion, one hundred twenty-four million, two hundred forty-five thousand, two hundred eighty".