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2540283480 = 23325721743197
BaseRepresentation
bin1001011101101001…
…1010011001011000
320120000222202211100
42113122122121120
520200303032410
61100023031400
7116644024200
oct22732323130
96500882740
102540283480
111093a18639
125aa89b560
13316395027
141a1539400
15ed0368c0
hex9769a658

2540283480 has 576 divisors, whose sum is σ = 10458059040. Its totient is φ = 531062784.

The previous prime is 2540283397. The next prime is 2540283509. The reversal of 2540283480 is 843820452.

2540283480 is a `hidden beast` number, since 2 + 540 + 2 + 8 + 34 + 80 = 666.

2540283480 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12894742 + ... + 12894938.

Almost surely, 22540283480 is an apocalyptic number.

2540283480 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 2540283480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229029520).

2540283480 is an abundant number, since it is smaller than the sum of its proper divisors (7917775560).

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

2540283480 is a wasteful number, since it uses less digits than its factorization.

2540283480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2540283480 is about 50401.2249851132. The cubic root of 2540283480 is about 1364.4597467537.

The spelling of 2540283480 in words is "two billion, five hundred forty million, two hundred eighty-three thousand, four hundred eighty".