2102132340 has 432 divisors, whose sum is σ = 8281937664. Its totient is φ = 426585600.

The previous prime is 2102132267. The next prime is 2102132341. The reversal of 2102132340 is 432312012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102132341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4559710 + ... + 4560170.

It is an arithmetic number, because the mean of its divisors is an integer number (19171152).

Almost surely, 2^2102132340 is an apocalyptic number.

2102132340 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 2102132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140968832).

2102132340 is an abundant number, since it is smaller than the sum of its proper divisors (6179805324).

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

2102132340 is a wasteful number, since it uses less digits than its factorization.

2102132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2102132340 is about 45849.0167833510. The cubic root of 2102132340 is about 1281.0124517288.

Adding to 2102132340 its reverse (432312012), we get a palindrome (2534444352).

It can be divided in two parts, 21021 and 32340, that added together give a square (53361 = 231²).

The spelling of 2102132340 in words is "two billion, one hundred two million, one hundred thirty-two thousand, three hundred forty".