2153318076 has 144 divisors (see below), whose sum is σ = 6762921984. Its totient is φ = 562508928.

The previous prime is 2153318071. The next prime is 2153318087. The reversal of 2153318076 is 6708133512.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2153318076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153318071) 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, 347461 + ... + 353603.

It is an arithmetic number, because the mean of its divisors is an integer number (46964736).

Almost surely, 2^2153318076 is an apocalyptic number.

2153318076 is a gapful number since it is divisible by the number (26) 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 2153318076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381460992).

2153318076 is an abundant number, since it is smaller than the sum of its proper divisors (4609603908).

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

2153318076 is a wasteful number, since it uses less digits than its factorization.

2153318076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2153318076 is about 46403.8584171618. The cubic root of 2153318076 is about 1291.3264956133.

The spelling of 2153318076 in words is "two billion, one hundred fifty-three million, three hundred eighteen thousand, seventy-six".