2101130640 has 480 divisors, whose sum is σ = 8649089280. Its totient is φ = 446201856.

The previous prime is 2101130611. The next prime is 2101130651. The reversal of 2101130640 is 460311012.

It is a happy number.

2101130640 is a `hidden beast` number, since 2 + 10 + 1 + 13 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11738071 + ... + 11738249.

It is an arithmetic number, because the mean of its divisors is an integer number (18018936).

Almost surely, 2^2101130640 is an apocalyptic number.

2101130640 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 2101130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324544640).

2101130640 is an abundant number, since it is smaller than the sum of its proper divisors (6547958640).

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

2101130640 is a wasteful number, since it uses less digits than its factorization.

2101130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2101130640 is about 45838.0915833109. The cubic root of 2101130640 is about 1280.8089450287.

Adding to 2101130640 its reverse (460311012), we get a palindrome (2561441652).

The spelling of 2101130640 in words is "two billion, one hundred one million, one hundred thirty thousand, six hundred forty".