2681169361920 has 660 divisors, whose sum is σ = 11176499390760. Its totient is φ = 612834066432.

The previous prime is 2681169361907. The next prime is 2681169361931. The reversal of 2681169361920 is 291639611862.

2681169361920 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 16 + 9 + 3 + 619 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20255311 + ... + 20387249.

It is an arithmetic number, because the mean of its divisors is an integer number (16934089986).

Almost surely, 2^{2681169361920} is an apocalyptic number.

2681169361920 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 2681169361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588249695380).

2681169361920 is an abundant number, since it is smaller than the sum of its proper divisors (8495330028840).

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

2681169361920 is a wasteful number, since it uses less digits than its factorization.

2681169361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131990 (or 131956 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2681169361920 in words is "two trillion, six hundred eighty-one billion, one hundred sixty-nine million, three hundred sixty-one thousand, nine hundred twenty".