2105051652 has 336 divisors, whose sum is σ = 6522324480. Its totient is φ = 587865600.

The previous prime is 2105051633. The next prime is 2105051653. The reversal of 2105051652 is 2561505012.

2105051652 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 0 + 5 + 1 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2105051653) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28836288 + ... + 28836360.

It is an arithmetic number, because the mean of its divisors is an integer number (19411680).

Almost surely, 2^2105051652 is an apocalyptic number.

2105051652 is a gapful number since it is divisible by the number (22) 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 2105051652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261162240).

2105051652 is an abundant number, since it is smaller than the sum of its proper divisors (4417272828).

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

2105051652 is a wasteful number, since it uses less digits than its factorization.

2105051652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2105051652 is about 45880.8418841677. The cubic root of 2105051652 is about 1281.6051745152.

Adding to 2105051652 its reverse (2561505012), we get a palindrome (4666556664).

The spelling of 2105051652 in words is "two billion, one hundred five million, fifty-one thousand, six hundred fifty-two".