2580122440 has 48 divisors (see below), whose sum is σ = 6753080700. Its totient is φ = 884612736.

The previous prime is 2580122407. The next prime is 2580122473. The reversal of 2580122440 is 442210852.

It is an interprime number because it is at equal distance from previous prime (2580122407) and next prime (2580122473).

It can be written as a sum of positive squares in 2 ways, for example, as 2375002756 + 205119684 = 48734^2 + 14322^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2580122399 and 2580122408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656235 + ... + 660154.

Almost surely, 2^2580122440 is an apocalyptic number.

2580122440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2580122440 is an abundant number, since it is smaller than the sum of its proper divisors (4172958260).

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

2580122440 is a wasteful number, since it uses less digits than its factorization.

2580122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316414 (or 1316403 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 2580122440 is about 50794.9056500748. The cubic root of 2580122440 is about 1371.5556661934. Note that the first 3 decimals are identical.

The spelling of 2580122440 in words is "two billion, five hundred eighty million, one hundred twenty-two thousand, four hundred forty".