2153040520 has 64 divisors (see below), whose sum is σ = 5023296000. Its totient is φ = 829655040.

The previous prime is 2153040517. The next prime is 2153040553. The reversal of 2153040520 is 250403512.

It is a junction number, because it is equal to n+sod(n) for n = 2153040491 and 2153040500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277656 + ... + 285304.

It is an arithmetic number, because the mean of its divisors is an integer number (78489000).

Almost surely, 2^2153040520 is an apocalyptic number.

2153040520 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 2153040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511648000).

2153040520 is an abundant number, since it is smaller than the sum of its proper divisors (2870255480).

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

2153040520 is a wasteful number, since it uses less digits than its factorization.

2153040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7918 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2153040520 is about 46400.8676643013. The cubic root of 2153040520 is about 1291.2710105735.

The spelling of 2153040520 in words is "two billion, one hundred fifty-three million, forty thousand, five hundred twenty".