2589778638720 has 4096 divisors, whose sum is σ = 12749184000000. Its totient is φ = 491612405760.

The previous prime is 2589778638719. The next prime is 2589778638737. The reversal of 2589778638720 is 278368779852.

2589778638720 is a `hidden beast` number, since 2 + 5 + 89 + 77 + 86 + 387 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 42455387490 + ... + 42455387550.

It is an arithmetic number, because the mean of its divisors is an integer number (3112593750).

Almost surely, 2^{2589778638720} is an apocalyptic number.

2589778638720 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 2589778638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592000000).

2589778638720 is an abundant number, since it is smaller than the sum of its proper divisors (10159405361280).

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

2589778638720 is a wasteful number, since it uses less digits than its factorization.

2589778638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 2589778638720 in words is "two trillion, five hundred eighty-nine billion, seven hundred seventy-eight million, six hundred thirty-eight thousand, seven hundred twenty".