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2543074380 = 22345711192937
BaseRepresentation
bin1001011110010100…
…0011110001001100
320120020020120020000
42113211003301030
520202011340010
61100202524300
7120006530010
oct22745036114
96506216200
102543074380
111095554470
125ab806690
13316b31452
141a1a64540
15ed3d87c0
hex97943c4c

2543074380 has 960 divisors, whose sum is σ = 11123481600. Its totient is φ = 470292480.

The previous prime is 2543074363. The next prime is 2543074381. The reversal of 2543074380 is 834703452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2543074381) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 68731722 + ... + 68731758.

It is an arithmetic number, because the mean of its divisors is an integer number (11586960).

Almost surely, 22543074380 is an apocalyptic number.

2543074380 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 2543074380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561740800).

2543074380 is an abundant number, since it is smaller than the sum of its proper divisors (8580407220).

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

2543074380 is a wasteful number, since it uses less digits than its factorization.

2543074380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2543074380 is about 50428.9042117712. The cubic root of 2543074380 is about 1364.9592549123.

The spelling of 2543074380 in words is "two billion, five hundred forty-three million, seventy-four thousand, three hundred eighty".