2560433340 has 96 divisors (see below), whose sum is σ = 7290259200. Its totient is φ = 671348736.

The previous prime is 2560433297. The next prime is 2560433413. The reversal of 2560433340 is 433340652.

2560433340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2560433298 and 2560433307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947311 + ... + 950009.

It is an arithmetic number, because the mean of its divisors is an integer number (75940200).

Almost surely, 2^2560433340 is an apocalyptic number.

2560433340 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 2560433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645129600).

2560433340 is an abundant number, since it is smaller than the sum of its proper divisors (4729825860).

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

2560433340 is a wasteful number, since it uses less digits than its factorization.

2560433340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 2560433340 is about 50600.7246983677. The cubic root of 2560433340 is about 1368.0579405882.

Adding to 2560433340 its reverse (433340652), we get a palindrome (2993773992).

The spelling of 2560433340 in words is "two billion, five hundred sixty million, four hundred thirty-three thousand, three hundred forty".