2100000540 has 96 divisors (see below), whose sum is σ = 6473617920. Its totient is φ = 504403200.

The previous prime is 2100000523. The next prime is 2100000541. The reversal of 2100000540 is 450000012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100000541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57345 + ... + 86535.

It is an arithmetic number, because the mean of its divisors is an integer number (67433520).

Almost surely, 2^2100000540 is an apocalyptic number.

2100000540 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 2100000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236808960).

2100000540 is an abundant number, since it is smaller than the sum of its proper divisors (4373617380).

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

2100000540 is a wasteful number, since it uses less digits than its factorization.

2100000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29323 (or 29321 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2100000540 is about 45825.7628414411. The cubic root of 2100000540 is about 1280.5792747514.

Adding to 2100000540 its reverse (450000012), we get a palindrome (2550000552).

The spelling of 2100000540 in words is "two billion, one hundred million, five hundred forty", and thus it is an aban number.