2053332240 has 160 divisors (see below), whose sum is σ = 6725998080. Its totient is φ = 517343232.

The previous prime is 2053332191. The next prime is 2053332241. The reversal of 2053332240 is 422333502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2053332240.

It is not an unprimeable number, because it can be changed into a prime (2053332241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323982 + ... + 330258.

It is an arithmetic number, because the mean of its divisors is an integer number (42037488).

Almost surely, 2^2053332240 is an apocalyptic number.

2053332240 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 2053332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362999040).

2053332240 is an abundant number, since it is smaller than the sum of its proper divisors (4672665840).

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

2053332240 is a wasteful number, since it uses less digits than its factorization.

2053332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2053332240 is about 45313.7091838662. The cubic root of 2053332240 is about 1271.0220222942.

Adding to 2053332240 its reverse (422333502), we get a palindrome (2475665742).

The spelling of 2053332240 in words is "two billion, fifty-three million, three hundred thirty-two thousand, two hundred forty".