2574563460480 has 1792 divisors, whose sum is σ = 11131190346240. Its totient is φ = 561444618240.

The previous prime is 2574563460467. The next prime is 2574563460487. The reversal of 2574563460480 is 840643654752.

2574563460480 is a `hidden beast` number, since 2 + 5 + 7 + 45 + 63 + 4 + 60 + 480 = 666.

2574563460480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2574563460487) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2006673919 + ... + 2006675201.

Almost surely, 2^{2574563460480} is an apocalyptic number.

2574563460480 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 2574563460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565595173120).

2574563460480 is an abundant number, since it is smaller than the sum of its proper divisors (8556626885760).

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

2574563460480 is a wasteful number, since it uses less digits than its factorization.

2574563460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2574563460480 in words is "two trillion, five hundred seventy-four billion, five hundred sixty-three million, four hundred sixty thousand, four hundred eighty".