2053635840 has 216 divisors, whose sum is σ = 7188788880. Its totient is φ = 541212672.

The previous prime is 2053635823. The next prime is 2053635851. The reversal of 2053635840 is 485363502.

It is a happy number.

2053635840 is a `hidden beast` number, since 20 + 53 + 6 + 3 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2053635795 and 2053635804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024279 + ... + 1026281.

It is an arithmetic number, because the mean of its divisors is an integer number (33281430).

It is a vampire number, since it can be written as 30045 ⋅ 68352 (with its own digits).

Almost surely, 2^2053635840 is an apocalyptic number.

2053635840 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 2053635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594394440).

2053635840 is an abundant number, since it is smaller than the sum of its proper divisors (5135153040).

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

2053635840 is a wasteful number, since it uses less digits than its factorization.

2053635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2053635840 is about 45317.0590396155. The cubic root of 2053635840 is about 1271.0846624686.

The spelling of 2053635840 in words is "two billion, fifty-three million, six hundred thirty-five thousand, eight hundred forty".