2053540120 has 64 divisors (see below), whose sum is σ = 4717271520. Its totient is φ = 804271104.

The previous prime is 2053540091. The next prime is 2053540123. The reversal of 2053540120 is 210453502.

It is a super-2 number, since 2×2053540120² = 8434054048899228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2053540091 and 2053540100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053540123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871412 + ... + 1872508.

Almost surely, 2^2053540120 is an apocalyptic number.

2053540120 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 2053540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358635760).

2053540120 is an abundant number, since it is smaller than the sum of its proper divisors (2663731400).

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

2053540120 is a wasteful number, since it uses less digits than its factorization.

2053540120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2040 counting only the distinct ones).

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

The square root of 2053540120 is about 45316.0029128784. The cubic root of 2053540120 is about 1271.0649137362.

Adding to 2053540120 its reverse (210453502), we get a palindrome (2263993622).

The spelling of 2053540120 in words is "two billion, fifty-three million, five hundred forty thousand, one hundred twenty".