2683260743040 has 512 divisors, whose sum is σ = 9752698339200. Its totient is φ = 705707458560.

The previous prime is 2683260742999. The next prime is 2683260743147. The reversal of 2683260743040 is 403470623862.

2683260743040 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 2 + 607 + 4 + 30 + 4 + 0 = 666.

2683260743040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2683260743040³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102163510 + ... + 102189770.

Almost surely, 2^{2683260743040} is an apocalyptic number.

2683260743040 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 2683260743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876349169600).

2683260743040 is an abundant number, since it is smaller than the sum of its proper divisors (7069437596160).

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

2683260743040 is an frugal number, since it uses more digits than its factorization.

2683260743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26374 (or 26344 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2683260743040 in words is "two trillion, six hundred eighty-three billion, two hundred sixty million, seven hundred forty-three thousand, forty".