2578472016120 has 3072 divisors, whose sum is σ = 12575969280000. Its totient is φ = 460573102080.

The previous prime is 2578472016067. The next prime is 2578472016121. The reversal of 2578472016120 is 216102748752.

2578472016120 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 4 + 7 + 20 + 1 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578472016121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 11358907447 + ... + 11358907673.

It is an arithmetic number, because the mean of its divisors is an integer number (4093740000).

Almost surely, 2^{2578472016120} is an apocalyptic number.

2578472016120 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 2578472016120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287984640000).

2578472016120 is an abundant number, since it is smaller than the sum of its proper divisors (9997497263880).

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

2578472016120 is a wasteful number, since it uses less digits than its factorization.

2578472016120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2578472016120 in words is "two trillion, five hundred seventy-eight billion, four hundred seventy-two million, sixteen thousand, one hundred twenty".