2052430400 has 168 divisors, whose sum is σ = 5439390696. Its totient is φ = 759398400.

The previous prime is 2052430399. The next prime is 2052430409. The reversal of 2052430400 is 40342502.

It can be written as a sum of positive squares in 12 ways, for example, as 569872384 + 1482558016 = 23872^2 + 38504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2052430409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1658582 + ... + 1659818.

Almost surely, 2^2052430400 is an apocalyptic number.

2052430400 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 2052430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719695348).

2052430400 is an abundant number, since it is smaller than the sum of its proper divisors (3386960296).

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

2052430400 is a wasteful number, since it uses less digits than its factorization.

2052430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2052430400 is about 45303.7570185962. The cubic root of 2052430400 is about 1270.8359140203.

Adding to 2052430400 its reverse (40342502), we get a palindrome (2092772902).

The spelling of 2052430400 in words is "two billion, fifty-two million, four hundred thirty thousand, four hundred".