2153219520 has 224 divisors, whose sum is σ = 7205179392. Its totient is φ = 543735808.

The previous prime is 2153219513. The next prime is 2153219527. The reversal of 2153219520 is 259123512.

It is an interprime number because it is at equal distance from previous prime (2153219513) and next prime (2153219527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153219527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2494609 + ... + 2495471.

Almost surely, 2^2153219520 is an apocalyptic number.

2153219520 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 2153219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602589696).

2153219520 is an abundant number, since it is smaller than the sum of its proper divisors (5051959872).

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

2153219520 is a wasteful number, since it uses less digits than its factorization.

2153219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2153219520 is about 46402.7964674544. The cubic root of 2153219520 is about 1291.3067942483.

The spelling of 2153219520 in words is "two billion, one hundred fifty-three million, two hundred nineteen thousand, five hundred twenty".