2580268840 has 64 divisors (see below), whose sum is σ = 6157017360. Its totient is φ = 969830400.

The previous prime is 2580268807. The next prime is 2580268897. The reversal of 2580268840 is 488620852.

2580268840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1620384516 + 959884324 = 40254^2 + 30982^2 .

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, 473974 + ... + 479386.

Almost surely, 2^2580268840 is an apocalyptic number.

2580268840 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 2580268840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078508680).

2580268840 is an abundant number, since it is smaller than the sum of its proper divisors (3576748520).

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

2580268840 is a wasteful number, since it uses less digits than its factorization.

2580268840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 2580268840 is about 50796.3467190309. The cubic root of 2580268840 is about 1371.5816070750.

The spelling of 2580268840 in words is "two billion, five hundred eighty million, two hundred sixty-eight thousand, eight hundred forty".