2111024640 has 640 divisors, whose sum is σ = 8060912640. Its totient is φ = 467140608.

The previous prime is 2111024627. The next prime is 2111024647. The reversal of 2111024640 is 464201112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111024647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57054702 + ... + 57054738.

It is an arithmetic number, because the mean of its divisors is an integer number (12595176).

Almost surely, 2^2111024640 is an apocalyptic number.

2111024640 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 2111024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030456320).

2111024640 is an abundant number, since it is smaller than the sum of its proper divisors (5949888000).

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

2111024640 is a wasteful number, since it uses less digits than its factorization.

2111024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2111024640 is about 45945.8881729367. Note that the first 3 decimals coincide. The cubic root of 2111024640 is about 1282.8161952302.

Adding to 2111024640 its reverse (464201112), we get a palindrome (2575225752).

The spelling of 2111024640 in words is "two billion, one hundred eleven million, twenty-four thousand, six hundred forty".