2153195520 has 768 divisors, whose sum is σ = 9057484800. Its totient is φ = 424673280.

The previous prime is 2153195477. The next prime is 2153195579. The reversal of 2153195520 is 255913512.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69457905 + ... + 69457935.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^2153195520 is an apocalyptic number.

2153195520 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 2153195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2153195520 is an abundant number, since it is smaller than the sum of its proper divisors (6904289280).

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

2153195520 is a wasteful number, since it uses less digits than its factorization.

2153195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 2153195520 is about 46402.5378616299. The cubic root of 2153195520 is about 1291.3019965523.

The spelling of 2153195520 in words is "two billion, one hundred fifty-three million, one hundred ninety-five thousand, five hundred twenty".