2588778332496 has 240 divisors, whose sum is σ = 7688479780800. Its totient is φ = 810853742592.

The previous prime is 2588778332447. The next prime is 2588778332533. The reversal of 2588778332496 is 6942338778852.

2588778332496 is a `hidden beast` number, since 2 + 58 + 8 + 7 + 7 + 83 + 3 + 2 + 496 = 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 47 ways as a sum of consecutive naturals, for example, 613597875 + ... + 613602093.

It is an arithmetic number, because the mean of its divisors is an integer number (32035332420).

Almost surely, 2^{2588778332496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2588778332496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844239890400).

2588778332496 is an abundant number, since it is smaller than the sum of its proper divisors (5099701448304).

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

2588778332496 is a wasteful number, since it uses less digits than its factorization.

2588778332496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6017 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 2588778332496 in words is "two trillion, five hundred eighty-eight billion, seven hundred seventy-eight million, three hundred thirty-two thousand, four hundred ninety-six".