2101040032 has 144 divisors (see below), whose sum is σ = 5272737120. Its totient is φ = 816625152.

The previous prime is 2101039981. The next prime is 2101040033. The reversal of 2101040032 is 2300401012.

It is a super-2 number, since 2×2101040032² = 8828738432133122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2101039994 and 2101040021.

It is not an unprimeable number, because it can be changed into a prime (2101040033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201783 + ... + 1203529.

It is an arithmetic number, because the mean of its divisors is an integer number (36616230).

Almost surely, 2^2101040032 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 2101040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636368560).

2101040032 is an abundant number, since it is smaller than the sum of its proper divisors (3171697088).

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

2101040032 is a wasteful number, since it uses less digits than its factorization.

2101040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2101040032 is about 45837.1032243531. The cubic root of 2101040032 is about 1280.7905337977.

Adding to 2101040032 its reverse (2300401012), we get a palindrome (4401441044).

The spelling of 2101040032 in words is "two billion, one hundred one million, forty thousand, thirty-two".