2566430400 has 336 divisors, whose sum is σ = 8844076800. Its totient is φ = 650711040.

The previous prime is 2566430393. The next prime is 2566430411. The reversal of 2566430400 is 40346652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14337511 + ... + 14337689.

Almost surely, 2^2566430400 is an apocalyptic number.

2566430400 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 2566430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422038400).

2566430400 is an abundant number, since it is smaller than the sum of its proper divisors (6277646400).

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

2566430400 is a wasteful number, since it uses less digits than its factorization.

2566430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2566430400 is about 50659.9486774316. The cubic root of 2566430400 is about 1369.1251985328.

The spelling of 2566430400 in words is "two billion, five hundred sixty-six million, four hundred thirty thousand, four hundred".