2052502400 has 96 divisors (see below), whose sum is σ = 5460457800. Its totient is φ = 757831680.

The previous prime is 2052502393. The next prime is 2052502409. The reversal of 2052502400 is 42052502.

It is a super-2 number, since 2×2052502400² = 8425532204011520000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052502409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16931 + ... + 66269.

Almost surely, 2^2052502400 is an apocalyptic number.

2052502400 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 2052502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730228900).

2052502400 is an abundant number, since it is smaller than the sum of its proper divisors (3407955400).

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

2052502400 is a wasteful number, since it uses less digits than its factorization.

2052502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49376 (or 49359 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2052502400 is about 45304.5516477097. The cubic root of 2052502400 is about 1270.8507743075.

Adding to 2052502400 its reverse (42052502), we get a palindrome (2094554902).

The spelling of 2052502400 in words is "two billion, fifty-two million, five hundred two thousand, four hundred".