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2580554328 = 23311293183131
BaseRepresentation
bin1001100111010000…
…0010001001011000
320122211202202001020
42121310002021120
520241110214303
61104022122440
7120643231002
oct23164021130
96584682036
102580554328
111104723730
12600280420
13321824c31
141a6a1d372
1510183da53
hex99d02258

2580554328 has 256 divisors, whose sum is σ = 7664025600. Its totient is φ = 716352000.

The previous prime is 2580554323. The next prime is 2580554351. The reversal of 2580554328 is 8234550852.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2580554328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580554323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19698823 + ... + 19698953.

It is an arithmetic number, because the mean of its divisors is an integer number (29937600).

Almost surely, 22580554328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580554328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832012800).

2580554328 is an abundant number, since it is smaller than the sum of its proper divisors (5083471272).

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

2580554328 is a wasteful number, since it uses less digits than its factorization.

2580554328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 2580554328 is about 50799.1567646551. The cubic root of 2580554328 is about 1371.6321903893.

The spelling of 2580554328 in words is "two billion, five hundred eighty million, five hundred fifty-four thousand, three hundred twenty-eight".