2005035051720 has 64 divisors (see below), whose sum is σ = 6022274832000. Its totient is φ = 534038709248.

The previous prime is 2005035051673. The next prime is 2005035051727. The reversal of 2005035051720 is 271505305002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2005035051727) 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, 9856785 + ... + 10058144.

It is an arithmetic number, because the mean of its divisors is an integer number (94098044250).

Almost surely, 2^{2005035051720} is an apocalyptic number.

2005035051720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005035051720 is an abundant number, since it is smaller than the sum of its proper divisors (4017239780280).

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

2005035051720 is a wasteful number, since it uses less digits than its factorization.

2005035051720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19915782 (or 19915778 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The spelling of 2005035051720 in words is "two trillion, five billion, thirty-five million, fifty-one thousand, seven hundred twenty".