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2478060000 = 25335413353
BaseRepresentation
bin1001001110110100…
…0011000111100000
320101200220111021000
42103231003013200
520033340410000
61045521232000
7115260106503
oct22355030740
96350814230
102478060000
111061889179
12591a92600
13306519cc0
1419717d13a
15e7845000
hex93b431e0

2478060000 has 480 divisors, whose sum is σ = 9754002720. Its totient is φ = 608256000.

The previous prime is 2478059993. The next prime is 2478060001. The reversal of 2478060000 is 608742.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×24780600002 = 12281562727200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478060001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7019824 + ... + 7020176.

It is an arithmetic number, because the mean of its divisors is an integer number (20320839).

Almost surely, 22478060000 is an apocalyptic number.

2478060000 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 2478060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877001360).

2478060000 is an abundant number, since it is smaller than the sum of its proper divisors (7275942720).

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

2478060000 is a wasteful number, since it uses less digits than its factorization.

2478060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2478060000 is about 49780.1165125193. The cubic root of 2478060000 is about 1353.2268487537.

Adding to 2478060000 its reverse (608742), we get a palindrome (2478668742).

The spelling of 2478060000 in words is "two billion, four hundred seventy-eight million, sixty thousand".