2260966400 has 528 divisors, whose sum is σ = 7407716352. Its totient is φ = 663552000.

The previous prime is 2260966343. The next prime is 2260966423. The reversal of 2260966400 is 46690622.

It is a super-2 number, since 2×2260966400² = 10223938123857920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61107182 + ... + 61107218.

Almost surely, 2^2260966400 is an apocalyptic number.

2260966400 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 2260966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703858176).

2260966400 is an abundant number, since it is smaller than the sum of its proper divisors (5146749952).

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

2260966400 is a wasteful number, since it uses less digits than its factorization.

2260966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 2260966400 is about 47549.6203980642. The cubic root of 2260966400 is about 1312.4961439040.

The spelling of 2260966400 in words is "two billion, two hundred sixty million, nine hundred sixty-six thousand, four hundred".