2578007502720 has 640 divisors, whose sum is σ = 10497990666240. Its totient is φ = 597255192576.

The previous prime is 2578007502709. The next prime is 2578007502727. The reversal of 2578007502720 is 272057008752.

2578007502720 is a `hidden beast` number, since 2 + 5 + 78 + 0 + 0 + 7 + 502 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2578007502720² (a number of 26 digits) contains 22 as substring.

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 (2578007502727) 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 79 ways as a sum of consecutive naturals, for example, 11344129 + ... + 11569151.

It is an arithmetic number, because the mean of its divisors is an integer number (16403110416).

Almost surely, 2^{2578007502720} is an apocalyptic number.

2578007502720 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 2578007502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248995333120).

2578007502720 is an abundant number, since it is smaller than the sum of its proper divisors (7919983163520).

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

2578007502720 is a wasteful number, since it uses less digits than its factorization.

2578007502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225084 (or 225063 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 2578007502720 in words is "two trillion, five hundred seventy-eight billion, seven million, five hundred two thousand, seven hundred twenty".