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2740443090 = 235731123171
BaseRepresentation
bin1010001101010111…
…1101011111010010
321001222121221012020
42203111331133102
521103023134330
61131533112310
7124624245000
oct24325753722
97058557166
102740443090
1111869aa500
12645928696
133489a6b78
141bdd5da70
151108c3210
hexa357d7d2

2740443090 has 384 divisors, whose sum is σ = 8825241600. Its totient is φ = 543312000.

The previous prime is 2740443089. The next prime is 2740443109. The reversal of 2740443090 is 903440472.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38597755 + ... + 38597825.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 22740443090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740443090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

2740443090 is an abundant number, since it is smaller than the sum of its proper divisors (6084798510).

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

2740443090 is a wasteful number, since it uses less digits than its factorization.

2740443090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2740443090 is about 52349.2415417836. The cubic root of 2740443090 is about 1399.3948217705.

The spelling of 2740443090 in words is "two billion, seven hundred forty million, four hundred forty-three thousand, ninety".