2578433898240 has 864 divisors, whose sum is σ = 9371030323200. Its totient is φ = 653811056640.

The previous prime is 2578433898223. The next prime is 2578433898241. The reversal of 2578433898240 is 428983348752.

2578433898240 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 4 + 3 + 389 + 8 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578433898241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6304239156 + ... + 6304239564.

Almost surely, 2^{2578433898240} is an apocalyptic number.

2578433898240 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 2578433898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685515161600).

2578433898240 is an abundant number, since it is smaller than the sum of its proper divisors (6792596424960).

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

2578433898240 is a wasteful number, since it uses less digits than its factorization.

2578433898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2578433898240 in words is "two trillion, five hundred seventy-eight billion, four hundred thirty-three million, eight hundred ninety-eight thousand, two hundred forty".