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2594384640 = 2835519439
BaseRepresentation
bin1001101010100011…
…0010101100000000
320200210210101200000
42122220302230000
520303130302030
61105234400000
7121201622421
oct23250625400
96623711600
102594384640
11111150a641
12604a30000
13324658053
141a87bd648
15102b71860
hex9aa32b00

2594384640 has 432 divisors, whose sum is σ = 9821011200. Its totient is φ = 653930496.

The previous prime is 2594384633. The next prime is 2594384641. The reversal of 2594384640 is 464834952.

It is a tau number, because it is divible by the number of its divisors (432).

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 (2594384641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5909541 + ... + 5909979.

Almost surely, 22594384640 is an apocalyptic number.

2594384640 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 2594384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910505600).

2594384640 is an abundant number, since it is smaller than the sum of its proper divisors (7226626560).

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

2594384640 is an equidigital number, since it uses as much as digits as its factorization.

2594384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2594384640 is about 50935.1022380441. The cubic root of 2594384640 is about 1374.0782167864.

The spelling of 2594384640 in words is "two billion, five hundred ninety-four million, three hundred eighty-four thousand, six hundred forty".