Search a number
-
+
2580878797200 = 2435521119712253
BaseRepresentation
bin100101100011101000010…
…111010010100110010000
3100010201200212210011100000
4211203220113102212100
5314241114433002300
65253350033330000
7354314403546114
oct45435027224620
910121625704300
102580878797200
119055a9885740
12358237106900
131594b68c88a2
148ccb5449744
154720431dc00
hex258e85d2990

2580878797200 has 720 divisors, whose sum is σ = 10184719761216. Its totient is φ = 622440806400.

The previous prime is 2580878797181. The next prime is 2580878797223. The reversal of 2580878797200 is 27978780852.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 210626274 + ... + 210638526.

Almost surely, 22580878797200 is an apocalyptic number.

2580878797200 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 2580878797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092359880608).

2580878797200 is an abundant number, since it is smaller than the sum of its proper divisors (7603840964016).

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

2580878797200 is a wasteful number, since it uses less digits than its factorization.

2580878797200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 2580878797200 in words is "two trillion, five hundred eighty billion, eight hundred seventy-eight million, seven hundred ninety-seven thousand, two hundred".