2656260000 has 240 divisors, whose sum is σ = 9683150400. Its totient is φ = 708192000.

The previous prime is 2656259999. The next prime is 2656260001. The reversal of 2656260000 is 626562.

2656260000 is a `hidden beast` number, since 2 + 6 + 56 + 2 + 600 + 0 + 0 = 666.

2656260000 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 an interprime number because it is at equal distance from previous prime (2656259999) and next prime (2656260001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2656260001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 537541 + ... + 542459.

It is an arithmetic number, because the mean of its divisors is an integer number (40346460).

Almost surely, 2^2656260000 is an apocalyptic number.

2656260000 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 2656260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841575200).

2656260000 is an abundant number, since it is smaller than the sum of its proper divisors (7026890400).

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

2656260000 is an equidigital number, since it uses as much as digits as its factorization.

2656260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2656260000 is about 51538.9173343795. The cubic root of 2656260000 is about 1384.9163021184.

Adding to 2656260000 its reverse (626562), we get a palindrome (2656886562).

The spelling of 2656260000 in words is "two billion, six hundred fifty-six million, two hundred sixty thousand".