2569420800 has 540 divisors, whose sum is σ = 9983056356. Its totient is φ = 629145600.

The previous prime is 2569420757. The next prime is 2569420807. The reversal of 2569420800 is 80249652.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 191102976 + 2378317824 = 13824^2 + 48768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2569420807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62668780 + ... + 62668820.

Almost surely, 2^2569420800 is an apocalyptic number.

2569420800 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 2569420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991528178).

2569420800 is an abundant number, since it is smaller than the sum of its proper divisors (7413635556).

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

2569420800 is a wasteful number, since it uses less digits than its factorization.

2569420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2569420800 is about 50689.4545245853. The cubic root of 2569420800 is about 1369.6567595192.

The spelling of 2569420800 in words is "two billion, five hundred sixty-nine million, four hundred twenty thousand, eight hundred".