2105852002000 has 80 divisors (see below), whose sum is σ = 5092267377600. Its totient is φ = 842288323200.

The previous prime is 2105852001997. The next prime is 2105852002003. The reversal of 2105852002000 is 2002585012.

It is an interprime number because it is at equal distance from previous prime (2105852001997) and next prime (2105852002003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2105852002000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105852002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56019211 + ... + 56056789.

It is an arithmetic number, because the mean of its divisors is an integer number (63653342220).

Almost surely, 2^{2105852002000} is an apocalyptic number.

2105852002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105852002000 is an abundant number, since it is smaller than the sum of its proper divisors (2986415375600).

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

2105852002000 is a wasteful number, since it uses less digits than its factorization.

2105852002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65621 (or 65605 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 2105852002000 its reverse (2002585012), we get a palindrome (2107854587012).

The spelling of 2105852002000 in words is "two trillion, one hundred five billion, eight hundred fifty-two million, two thousand".