2001102540 has 48 divisors (see below), whose sum is σ = 5657503488. Its totient is φ = 528444864.

The previous prime is 2001102533. The next prime is 2001102547. The reversal of 2001102540 is 452011002.

It is an interprime number because it is at equal distance from previous prime (2001102533) and next prime (2001102547).

It is a super-2 number, since 2×2001102540² = 8008822751188903200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2001102547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 155722 + ... + 168081.

It is an arithmetic number, because the mean of its divisors is an integer number (117864656).

Almost surely, 2^2001102540 is an apocalyptic number.

2001102540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001102540 is an abundant number, since it is smaller than the sum of its proper divisors (3656400948).

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

2001102540 is a wasteful number, since it uses less digits than its factorization.

2001102540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323918 (or 323916 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2001102540 is about 44733.6846235586. The cubic root of 2001102540 is about 1260.1525262571.

Adding to 2001102540 its reverse (452011002), we get a palindrome (2453113542).

The spelling of 2001102540 in words is "two billion, one million, one hundred two thousand, five hundred forty".