2560010552 has 72 divisors (see below), whose sum is σ = 5605279680. Its totient is φ = 1095072000.

The previous prime is 2560010549. The next prime is 2560010591. The reversal of 2560010552 is 2550100652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 275177 + ... + 284327.

Almost surely, 2^2560010552 is an apocalyptic number.

2560010552 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 2560010552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802639840).

2560010552 is an abundant number, since it is smaller than the sum of its proper divisors (3045269128).

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

2560010552 is a wasteful number, since it uses less digits than its factorization.

2560010552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 2560010552 is about 50596.5468386925. The cubic root of 2560010552 is about 1367.9826368873.

The spelling of 2560010552 in words is "two billion, five hundred sixty million, ten thousand, five hundred fifty-two".