2052353040 has 80 divisors (see below), whose sum is σ = 6377377536. Its totient is φ = 545996800.

The previous prime is 2052353029. The next prime is 2052353057. The reversal of 2052353040 is 403532502.

It is a tau number, because it is divible by the number of its divisors (80).

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 2052353040.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 93520 + ... + 113360.

Almost surely, 2^2052353040 is an apocalyptic number.

2052353040 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 2052353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188688768).

2052353040 is an abundant number, since it is smaller than the sum of its proper divisors (4325024496).

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

2052353040 is a wasteful number, since it uses less digits than its factorization.

2052353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20288 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2052353040 is about 45302.9032182265. The cubic root of 2052353040 is about 1270.8199470799.

Adding to 2052353040 its reverse (403532502), we get a palindrome (2455885542).

The spelling of 2052353040 in words is "two billion, fifty-two million, three hundred fifty-three thousand, forty".