2580387840 has 576 divisors, whose sum is σ = 9980923680. Its totient is φ = 637009920.

The previous prime is 2580387829. The next prime is 2580387851. The reversal of 2580387840 is 487830852.

It is an interprime number because it is at equal distance from previous prime (2580387829) and next prime (2580387851).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42301410 + ... + 42301470.

Almost surely, 2^2580387840 is an apocalyptic number.

2580387840 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 2580387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990461840).

2580387840 is an abundant number, since it is smaller than the sum of its proper divisors (7400535840).

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

2580387840 is an equidigital number, since it uses as much as digits as its factorization.

2580387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2580387840 is about 50797.5180496055. The cubic root of 2580387840 is about 1371.6026921779.

The spelling of 2580387840 in words is "two billion, five hundred eighty million, three hundred eighty-seven thousand, eight hundred forty".