2681770291200 has 6240 divisors, whose sum is σ = 14865713533440. Its totient is φ = 458647142400.

The previous prime is 2681770291171. The next prime is 2681770291247. The reversal of 2681770291200 is 21920771862.

It is a happy number.

2681770291200 is a `hidden beast` number, since 268 + 17 + 70 + 291 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 141145804791 + ... + 141145804809.

Almost surely, 2^{2681770291200} is an apocalyptic number.

2681770291200 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 2681770291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432856766720).

2681770291200 is an abundant number, since it is smaller than the sum of its proper divisors (12183943242240).

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

2681770291200 is a wasteful number, since it uses less digits than its factorization.

2681770291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 2681770291200 in words is "two trillion, six hundred eighty-one billion, seven hundred seventy million, two hundred ninety-one thousand, two hundred".