2101042064 has 50 divisors (see below), whose sum is σ = 4478317350. Its totient is φ = 954912640.

The previous prime is 2101042063. The next prime is 2101042123. The reversal of 2101042064 is 4602401012.

It can be written as a sum of positive squares in only one way, i.e., 1814078464 + 286963600 = 42592^2 + 16940^2 .

It is not an unprimeable number, because it can be changed into a prime (2101042063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 229772 + ... + 238740.

It is an arithmetic number, because the mean of its divisors is an integer number (89566347).

Almost surely, 2^2101042064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239158675).

2101042064 is an abundant number, since it is smaller than the sum of its proper divisors (2377275286).

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

2101042064 is an frugal number, since it uses more digits than its factorization.

2101042064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9021 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2101042064 is about 45837.1253897973. The cubic root of 2101042064 is about 1280.7909466988.

Adding to 2101042064 its reverse (4602401012), we get a palindrome (6703443076).

The spelling of 2101042064 in words is "two billion, one hundred one million, forty-two thousand, sixty-four".