2153313084 has 144 divisors (see below), whose sum is σ = 5817756672. Its totient is φ = 614777856.

The previous prime is 2153313083. The next prime is 2153313119. The reversal of 2153313084 is 4803133512.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153313083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19055812 + ... + 19055924.

It is an arithmetic number, because the mean of its divisors is an integer number (40401088).

Almost surely, 2^2153313084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153313084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908878336).

2153313084 is an abundant number, since it is smaller than the sum of its proper divisors (3664443588).

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

2153313084 is a wasteful number, since it uses less digits than its factorization.

2153313084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2153313084 is about 46403.8046285000. The cubic root of 2153313084 is about 1291.3254977259.

Adding to 2153313084 its reverse (4803133512), we get a palindrome (6956446596).

The spelling of 2153313084 in words is "two billion, one hundred fifty-three million, three hundred thirteen thousand, eighty-four".