2560009088 has 128 divisors (see below), whose sum is σ = 6307875840. Its totient is φ = 1007769600.

The previous prime is 2560009079. The next prime is 2560009093. The reversal of 2560009088 is 8809000652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3156203 + ... + 3157013.

It is an arithmetic number, because the mean of its divisors is an integer number (49280280).

Almost surely, 2^2560009088 is an apocalyptic number.

2560009088 is a gapful number since it is divisible by the number (28) 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 2560009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153937920).

2560009088 is an abundant number, since it is smaller than the sum of its proper divisors (3747866752).

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

2560009088 is a wasteful number, since it uses less digits than its factorization.

2560009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2560009088 is about 50596.5323712999. The cubic root of 2560009088 is about 1367.9823761167.

The spelling of 2560009088 in words is "two billion, five hundred sixty million, nine thousand, eighty-eight".