2053529640 has 96 divisors (see below), whose sum is σ = 6816026880. Its totient is φ = 535952256.

The previous prime is 2053529623. The next prime is 2053529641. The reversal of 2053529640 is 469253502.

2053529640 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 5 + 2 + 9 + 640 = 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 = 2053529595 and 2053529604.

It is not an unprimeable number, because it can be changed into a prime (2053529641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43764 + ... + 77603.

It is an arithmetic number, because the mean of its divisors is an integer number (71000280).

Almost surely, 2^2053529640 is an apocalyptic number.

2053529640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053529640 is an abundant number, since it is smaller than the sum of its proper divisors (4762497240).

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

2053529640 is a wasteful number, since it uses less digits than its factorization.

2053529640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121431 (or 121424 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2053529640 is about 45315.8872802906. The cubic root of 2053529640 is about 1271.0627514891.

The spelling of 2053529640 in words is "two billion, fifty-three million, five hundred twenty-nine thousand, six hundred forty".