2153234340 has 120 divisors (see below), whose sum is σ = 6987851640. Its totient is φ = 554383872.

The previous prime is 2153234333. The next prime is 2153234341. The reversal of 2153234340 is 434323512.

2153234340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 331822656 + 1821411684 = 18216^2 + 42678^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2153234341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24064 + ... + 69896.

It is an arithmetic number, because the mean of its divisors is an integer number (58232097).

Almost surely, 2^2153234340 is an apocalyptic number.

2153234340 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 2153234340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493925820).

2153234340 is an abundant number, since it is smaller than the sum of its proper divisors (4834617300).

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

2153234340 is a wasteful number, since it uses less digits than its factorization.

2153234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45883 (or 45872 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2153234340 is about 46402.9561558313. The cubic root of 2153234340 is about 1291.3097568078.

Adding to 2153234340 its reverse (434323512), we get a palindrome (2587557852).

The spelling of 2153234340 in words is "two billion, one hundred fifty-three million, two hundred thirty-four thousand, three hundred forty".