2570404000 has 96 divisors (see below), whose sum is σ = 6357261456. Its totient is φ = 1021363200.

The previous prime is 2570403977. The next prime is 2570404003. The reversal of 2570404000 is 4040752.

It can be written as a sum of positive squares in 8 ways, for example, as 2347024 + 2568056976 = 1532^2 + 50676^2 .

It is not an unprimeable number, because it can be changed into a prime (2570404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625954 + ... + 630046.

Almost surely, 2^2570404000 is an apocalyptic number.

2570404000 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 2570404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178630728).

2570404000 is an abundant number, since it is smaller than the sum of its proper divisors (3786857456).

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

2570404000 is a wasteful number, since it uses less digits than its factorization.

2570404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2570404000 is about 50699.1518666733. The cubic root of 2570404000 is about 1369.8314389380.

Adding to 2570404000 its reverse (4040752), we get a palindrome (2574444752).

The spelling of 2570404000 in words is "two billion, five hundred seventy million, four hundred four thousand".