2260276704 has 384 divisors, whose sum is σ = 7983360000. Its totient is φ = 621153792.

The previous prime is 2260276661. The next prime is 2260276709. The reversal of 2260276704 is 4076720622.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260276709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8594077 + ... + 8594339.

It is an arithmetic number, because the mean of its divisors is an integer number (20790000).

Almost surely, 2^2260276704 is an apocalyptic number.

2260276704 is a gapful number since it is divisible by the number (24) 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 2260276704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680000).

2260276704 is an abundant number, since it is smaller than the sum of its proper divisors (5723083296).

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

2260276704 is a wasteful number, since it uses less digits than its factorization.

2260276704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2260276704 is about 47542.3674631376. The cubic root of 2260276704 is about 1312.3626736321.

The spelling of 2260276704 in words is "two billion, two hundred sixty million, two hundred seventy-six thousand, seven hundred four".