2260514432 has 64 divisors (see below), whose sum is σ = 4932671040. Its totient is φ = 1023344640.

The previous prime is 2260514419. The next prime is 2260514441. The reversal of 2260514432 is 2344150622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2260514395 and 2260514404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358733 + ... + 364979.

It is an arithmetic number, because the mean of its divisors is an integer number (77072985).

Almost surely, 2^2260514432 is an apocalyptic number.

2260514432 is a gapful number since it is divisible by the number (22) 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 2260514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466335520).

2260514432 is an abundant number, since it is smaller than the sum of its proper divisors (2672156608).

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

2260514432 is a wasteful number, since it uses less digits than its factorization.

2260514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2260514432 is about 47544.8675673831. The cubic root of 2260514432 is about 1312.4086819248.

The spelling of 2260514432 in words is "two billion, two hundred sixty million, five hundred fourteen thousand, four hundred thirty-two".