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2580487392 = 253721723261
BaseRepresentation
bin1001100111001111…
…0001110011100000
320122211122100020010
42121303301303200
520241101044032
61104020444520
7120642531600
oct23163616340
96584570203
102580487392
11110468840a
12600249740
13321800622
141a6a02c00
15101828ccc
hex99cf1ce0

2580487392 has 432 divisors, whose sum is σ = 8864713872. Its totient is φ = 652861440.

The previous prime is 2580487391. The next prime is 2580487421. The reversal of 2580487392 is 2937840852.

2580487392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580487391) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42303042 + ... + 42303102.

It is an arithmetic number, because the mean of its divisors is an integer number (20520171).

Almost surely, 22580487392 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 2580487392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432356936).

2580487392 is an abundant number, since it is smaller than the sum of its proper divisors (6284226480).

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

2580487392 is a wasteful number, since it uses less digits than its factorization.

2580487392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2580487392 is about 50798.4979305491. The cubic root of 2580487392 is about 1371.6203308746.

The spelling of 2580487392 in words is "two billion, five hundred eighty million, four hundred eighty-seven thousand, three hundred ninety-two".