2589551400960 has 576 divisors, whose sum is σ = 9305348532480. Its totient is φ = 665321472000.

The previous prime is 2589551400923. The next prime is 2589551401007. The reversal of 2589551400960 is 690041559852.

2589551400960 is a `hidden beast` number, since 2 + 5 + 89 + 551 + 4 + 0 + 0 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2589551400897 and 2589551400906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688525480 + ... + 688529240.

It is an arithmetic number, because the mean of its divisors is an integer number (16155118980).

Almost surely, 2^{2589551400960} is an apocalyptic number.

2589551400960 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 2589551400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652674266240).

2589551400960 is an abundant number, since it is smaller than the sum of its proper divisors (6715797131520).

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

2589551400960 is a wasteful number, since it uses less digits than its factorization.

2589551400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 2589551400960 in words is "two trillion, five hundred eighty-nine billion, five hundred fifty-one million, four hundred thousand, nine hundred sixty".