2053042000 has 40 divisors (see below), whose sum is σ = 4964260392. Its totient is φ = 821216000.

The previous prime is 2053041983. The next prime is 2053042003. The reversal of 2053042000 is 2403502.

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 2049916176 = 1768^2 + 45276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053042003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511261 + ... + 515260.

Almost surely, 2^2053042000 is an apocalyptic number.

2053042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053042000 is an abundant number, since it is smaller than the sum of its proper divisors (2911218392).

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

2053042000 is a wasteful number, since it uses less digits than its factorization.

2053042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026544 (or 1026528 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2053042000 is about 45310.5065078730. The cubic root of 2053042000 is about 1270.9621328443.

Adding to 2053042000 its reverse (2403502), we get a palindrome (2055445502).

The spelling of 2053042000 in words is "two billion, fifty-three million, forty-two thousand".