2053833840 has 160 divisors (see below), whose sum is σ = 7130972160. Its totient is φ = 543303936.

The previous prime is 2053833799. The next prime is 2053833857. The reversal of 2053833840 is 483383502.

2053833840 is a `hidden beast` number, since 205 + 383 + 38 + 40 = 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 = 2053833795 and 2053833804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270577 + ... + 278063.

It is an arithmetic number, because the mean of its divisors is an integer number (44568576).

Almost surely, 2^2053833840 is an apocalyptic number.

2053833840 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 2053833840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565486080).

2053833840 is an abundant number, since it is smaller than the sum of its proper divisors (5077138320).

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

2053833840 is a wasteful number, since it uses less digits than its factorization.

2053833840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7636 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2053833840 is about 45319.2435947468. The cubic root of 2053833840 is about 1271.1255114303.

The spelling of 2053833840 in words is "two billion, fifty-three million, eight hundred thirty-three thousand, eight hundred forty".