2578224411648 has 440 divisors, whose sum is σ = 8097819333120. Its totient is φ = 815949987840.

The previous prime is 2578224411647. The next prime is 2578224411661. The reversal of 2578224411648 is 8461144228752.

2578224411648 is a `hidden beast` number, since 2 + 578 + 2 + 2 + 4 + 4 + 1 + 1 + 64 + 8 = 666.

It is a super-2 number, since 2×2578224411648² (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 junction number, because it is equal to n+sod(n) for n = 2578224411594 and 2578224411603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578224411647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136267533 + ... + 136286451.

It is an arithmetic number, because the mean of its divisors is an integer number (18404134848).

Almost surely, 2^{2578224411648} 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 2578224411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048909666560).

2578224411648 is an abundant number, since it is smaller than the sum of its proper divisors (5519594921472).

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

2578224411648 is a wasteful number, since it uses less digits than its factorization.

2578224411648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19035 (or 19008 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 2578224411648 in words is "two trillion, five hundred seventy-eight billion, two hundred twenty-four million, four hundred eleven thousand, six hundred forty-eight".