2681690457600 has 1440 divisors, whose sum is σ = 12409389248256. Its totient is φ = 557184614400.

The previous prime is 2681690457541. The next prime is 2681690457629. The reversal of 2681690457600 is 67540961862.

2681690457600 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 69 + 0 + 4 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239495202 + ... + 239506398.

Almost surely, 2^{2681690457600} is an apocalyptic number.

2681690457600 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 2681690457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204694624128).

2681690457600 is an abundant number, since it is smaller than the sum of its proper divisors (9727698790656).

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

2681690457600 is a wasteful number, since it uses less digits than its factorization.

2681690457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2681690457600 in words is "two trillion, six hundred eighty-one billion, six hundred ninety million, four hundred fifty-seven thousand, six hundred".