2010639540 has 288 divisors, whose sum is σ = 7284501504. Its totient is φ = 410296320.

The previous prime is 2010639479. The next prime is 2010639563. The reversal of 2010639540 is 459360102.

It is a super-2 number, since 2×2010639540² = 8085342719622823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2010639498 and 2010639507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1183972 + ... + 1185668.

It is an arithmetic number, because the mean of its divisors is an integer number (25293408).

Almost surely, 2^2010639540 is an apocalyptic number.

2010639540 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 2010639540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642250752).

2010639540 is an abundant number, since it is smaller than the sum of its proper divisors (5273861964).

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

2010639540 is a wasteful number, since it uses less digits than its factorization.

2010639540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2010639540 is about 44840.1554413006. The cubic root of 2010639540 is about 1262.1512632182.

Adding to 2010639540 its reverse (459360102), we get a palindrome (2469999642).

The spelling of 2010639540 in words is "two billion, ten million, six hundred thirty-nine thousand, five hundred forty".