2590432488000 has 2688 divisors, whose sum is σ = 11880048660480. Its totient is φ = 545539276800.

The previous prime is 2590432487947. The next prime is 2590432488041. The reversal of 2590432488000 is 8842340952.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11117735884 + ... + 11117736116.

It is an arithmetic number, because the mean of its divisors is an integer number (4419660960).

Almost surely, 2^{2590432488000} is an apocalyptic number.

2590432488000 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 2590432488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940024330240).

2590432488000 is an abundant number, since it is smaller than the sum of its proper divisors (9289616172480).

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

2590432488000 is a wasteful number, since it uses less digits than its factorization.

2590432488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2590432488000 in words is "two trillion, five hundred ninety billion, four hundred thirty-two million, four hundred eighty-eight thousand".