2580247488000 has 2880 divisors, whose sum is σ = 11572660427328. Its totient is φ = 505361203200.

The previous prime is 2580247487971. The next prime is 2580247488029. The reversal of 2580247488000 is 8847420852.

It is an interprime number because it is at equal distance from previous prime (2580247487971) and next prime (2580247488029).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35345855964 + ... + 35345856036.

Almost surely, 2^{2580247488000} is an apocalyptic number.

2580247488000 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 2580247488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786330213664).

2580247488000 is an abundant number, since it is smaller than the sum of its proper divisors (8992412939328).

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

2580247488000 is a wasteful number, since it uses less digits than its factorization.

2580247488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 2580247488000 in words is "two trillion, five hundred eighty billion, two hundred forty-seven million, four hundred eighty-eight thousand".