2260430400 has 168 divisors, whose sum is σ = 7518851104. Its totient is φ = 594432000.

The previous prime is 2260430387. The next prime is 2260430401. The reversal of 2260430400 is 40340622.

It is not an unprimeable number, because it can be changed into a prime (2260430401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347175 + ... + 353625.

Almost surely, 2^2260430400 is an apocalyptic number.

2260430400 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 2260430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759425552).

2260430400 is an abundant number, since it is smaller than the sum of its proper divisors (5258420704).

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

2260430400 is a wasteful number, since it uses less digits than its factorization.

2260430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2260430400 is about 47543.9838465394. The cubic root of 2260430400 is about 1312.3924193002.

The spelling of 2260430400 in words is "two billion, two hundred sixty million, four hundred thirty thousand, four hundred".