2588880551040 has 1152 divisors, whose sum is σ = 10774969920000. Its totient is φ = 570513162240.

The previous prime is 2588880550967. The next prime is 2588880551041. The reversal of 2588880551040 is 401550888852.

2588880551040 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 8 + 80 + 5 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (2588880551041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3928498231 + ... + 3928498889.

It is an arithmetic number, because the mean of its divisors is an integer number (9353272500).

Almost surely, 2^{2588880551040} is an apocalyptic number.

2588880551040 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 2588880551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387484960000).

2588880551040 is an abundant number, since it is smaller than the sum of its proper divisors (8186089368960).

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

2588880551040 is a wasteful number, since it uses less digits than its factorization.

2588880551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 4096000, while the sum is 54.

The spelling of 2588880551040 in words is "two trillion, five hundred eighty-eight billion, eight hundred eighty million, five hundred fifty-one thousand, forty".