2509380880 has 40 divisors (see below), whose sum is σ = 6177508632. Its totient is φ = 944707584.

The previous prime is 2509380871. The next prime is 2509381001. The reversal of 2509380880 is 880839052.

It can be written as a sum of positive squares in 4 ways, for example, as 15776784 + 2493604096 = 3972^2 + 49936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921207 + ... + 923926.

Almost surely, 2^2509380880 is an apocalyptic number.

2509380880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2509380880 is an abundant number, since it is smaller than the sum of its proper divisors (3668127752).

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

2509380880 is a wasteful number, since it uses less digits than its factorization.

2509380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845163 (or 1845157 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 2509380880 is about 50093.7209638094. The cubic root of 2509380880 is about 1358.9042644751.

The spelling of 2509380880 in words is "two billion, five hundred nine million, three hundred eighty thousand, eight hundred eighty".