2083536559104 has 1408 divisors, whose sum is σ = 7891670384640. Its totient is φ = 471033446400.

The previous prime is 2083536559087. The next prime is 2083536559129. The reversal of 2083536559104 is 4019556353802.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×2083536559104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6294672219 + ... + 6294672549.

Almost surely, 2^{2083536559104} is an apocalyptic number.

2083536559104 is a gapful number since it is divisible by the number (24) 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 2083536559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945835192320).

2083536559104 is an abundant number, since it is smaller than the sum of its proper divisors (5808133825536).

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

2083536559104 is a wasteful number, since it uses less digits than its factorization.

2083536559104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 2083536559104 in words is "two trillion, eighty-three billion, five hundred thirty-six million, five hundred fifty-nine thousand, one hundred four".