2101541640 has 128 divisors (see below), whose sum is σ = 6928571520. Its totient is φ = 505702400.

The previous prime is 2101541627. The next prime is 2101541641. The reversal of 2101541640 is 461451012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2101541640.

It is not an unprimeable number, because it can be changed into a prime (2101541641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175030 + ... + 186650.

It is an arithmetic number, because the mean of its divisors is an integer number (54129465).

Almost surely, 2^2101541640 is an apocalyptic number.

2101541640 is a gapful number since it is divisible by the number (20) 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 2101541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464285760).

2101541640 is an abundant number, since it is smaller than the sum of its proper divisors (4827029880).

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

2101541640 is a wasteful number, since it uses less digits than its factorization.

2101541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11783 (or 11779 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2101541640 is about 45842.5745350324. The cubic root of 2101541640 is about 1280.8924521568.

Adding to 2101541640 its reverse (461451012), we get a palindrome (2562992652).

The spelling of 2101541640 in words is "two billion, one hundred one million, five hundred forty-one thousand, six hundred forty".