2559967440 has 160 divisors (see below), whose sum is σ = 8448852096. Its totient is φ = 638976000.

The previous prime is 2559967411. The next prime is 2559967447. The reversal of 2559967440 is 447699552.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559967447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785815 + ... + 789065.

Almost surely, 2^2559967440 is an apocalyptic number.

2559967440 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 2559967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224426048).

2559967440 is an abundant number, since it is smaller than the sum of its proper divisors (5888884656).

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

2559967440 is a wasteful number, since it uses less digits than its factorization.

2559967440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 2559967440 is about 50596.1207999190. The cubic root of 2559967440 is about 1367.9749576484.

It can be divided in two parts, 25599 and 67440, that added together give a palindrome (93039).

The spelling of 2559967440 in words is "two billion, five hundred fifty-nine million, nine hundred sixty-seven thousand, four hundred forty".