2105612849340 has 1152 divisors, whose sum is σ = 8881970872320. Its totient is φ = 389534054400.

The previous prime is 2105612849339. The next prime is 2105612849359. The reversal of 2105612849340 is 439482165012.

2105612849340 is a `hidden beast` number, since 2 + 1 + 0 + 561 + 2 + 8 + 49 + 3 + 40 = 666.

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 383 ways as a sum of consecutive naturals, for example, 2675492427 + ... + 2675493213.

It is an arithmetic number, because the mean of its divisors is an integer number (7710044160).

Almost surely, 2^{2105612849340} is an apocalyptic number.

2105612849340 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 2105612849340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440985436160).

2105612849340 is an abundant number, since it is smaller than the sum of its proper divisors (6776358022980).

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

2105612849340 is a wasteful number, since it uses less digits than its factorization.

2105612849340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2105612849340 in words is "two trillion, one hundred five billion, six hundred twelve million, eight hundred forty-nine thousand, three hundred forty".