2576450000 has 90 divisors (see below), whose sum is σ = 6267048102. Its totient is φ = 1026040000.

The previous prime is 2576449999. The next prime is 2576450003. The reversal of 2576450000 is 546752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1190526016 + 1385923984 = 34504^2 + 37228^2 .

It is a super-3 number, since 3×2576450000³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2576450003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11349887 + ... + 11350113.

Almost surely, 2^2576450000 is an apocalyptic number.

2576450000 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 2576450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133524051).

2576450000 is an abundant number, since it is smaller than the sum of its proper divisors (3690598102).

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

2576450000 is an frugal number, since it uses more digits than its factorization.

2576450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 2576450000 is about 50758.7430892452. The cubic root of 2576450000 is about 1370.9046185916.

Adding to 2576450000 its reverse (546752), we get a palindrome (2576996752).

The spelling of 2576450000 in words is "two billion, five hundred seventy-six million, four hundred fifty thousand".