2590643139840 has 2592 divisors, whose sum is σ = 11419871823360. Its totient is φ = 560086990848.

The previous prime is 2590643139779. The next prime is 2590643139863. The reversal of 2590643139840 is 489313460952.

2590643139840 is a `hidden beast` number, since 2 + 590 + 6 + 4 + 3 + 1 + 3 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×2590643139840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 38666315487 + ... + 38666315553.

Almost surely, 2^{2590643139840} is an apocalyptic number.

2590643139840 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 2590643139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709935911680).

2590643139840 is an abundant number, since it is smaller than the sum of its proper divisors (8829228683520).

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

2590643139840 is an equidigital number, since it uses as much as digits as its factorization.

2590643139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2590643139840 in words is "two trillion, five hundred ninety billion, six hundred forty-three million, one hundred thirty-nine thousand, eight hundred forty".